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Finding the Third Proportional to 312,995,367,474.50 and 677,963,983,310

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Solution

The third proportional to 312,995,367,474.50 and 677,963,983,310 is: 1,468,504,682,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995,367,474.50 : 677,963,983,310 = 677,963,983,310 : x
  2. Step 2: Convert to fraction form
    312,995,367,474.50/677,963,983,310 = 677,963,983,310/x
  3. Step 3: Cross multiply
    312,995,367,474.50x = 677,963,983,310 × 677,963,983,310
  4. Step 4: Simplify right side
    312,995,367,474.50x = 459,635,162,665,561,964,412,928
  5. Step 5: Solve for x
    x = 459,635,162,665,561,964,412,928/312,995,367,474.50
  6. Step 6: Final answer
    x = 1,468,504,682,271.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.