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Finding the Third Proportional to 459,613,415.25 and 687,791,685.38

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Solution

The third proportional to 459,613,415.25 and 687,791,685.38 is: 1,029,250,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,613,415.25 : 687,791,685.38 = 687,791,685.38 : x
  2. Step 2: Convert to fraction form
    459,613,415.25/687,791,685.38 = 687,791,685.38/x
  3. Step 3: Cross multiply
    459,613,415.25x = 687,791,685.38 × 687,791,685.38
  4. Step 4: Simplify right side
    459,613,415.25x = 473,057,402,470,982,976
  5. Step 5: Solve for x
    x = 473,057,402,470,982,976/459,613,415.25
  6. Step 6: Final answer
    x = 1,029,250,641.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.