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Finding the Third Proportional to 312,700,648 and 687,068,864

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Solution

The third proportional to 312,700,648 and 687,068,864 is: 1,509,634,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,700,648 : 687,068,864 = 687,068,864 : x
  2. Step 2: Convert to fraction form
    312,700,648/687,068,864 = 687,068,864/x
  3. Step 3: Cross multiply
    312,700,648x = 687,068,864 × 687,068,864
  4. Step 4: Simplify right side
    312,700,648x = 472,063,623,878,250,496
  5. Step 5: Solve for x
    x = 472,063,623,878,250,496/312,700,648
  6. Step 6: Final answer
    x = 1,509,634,300.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.