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Finding the Third Proportional to 459,613,417 and 687,791,688

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Solution

The third proportional to 459,613,417 and 687,791,688 is: 1,029,250,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,613,417 : 687,791,688 = 687,791,688 : x
  2. Step 2: Convert to fraction form
    459,613,417/687,791,688 = 687,791,688/x
  3. Step 3: Cross multiply
    459,613,417x = 687,791,688 × 687,791,688
  4. Step 4: Simplify right side
    459,613,417x = 473,057,406,081,889,344
  5. Step 5: Solve for x
    x = 473,057,406,081,889,344/459,613,417
  6. Step 6: Final answer
    x = 1,029,250,645.40

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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.