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Finding the Third Proportional to 152,868 and 312,540

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Solution

The third proportional to 152,868 and 312,540 is: 638,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,868 : 312,540 = 312,540 : x
  2. Step 2: Convert to fraction form
    152,868/312,540 = 312,540/x
  3. Step 3: Cross multiply
    152,868x = 312,540 × 312,540
  4. Step 4: Simplify right side
    152,868x = 97,681,251,600
  5. Step 5: Solve for x
    x = 97,681,251,600/152,868
  6. Step 6: Final answer
    x = 638,990.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.