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Finding the Third Proportional to 98,689,540 and 213,853,744

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Solution

The third proportional to 98,689,540 and 213,853,744 is: 463,407,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689,540 : 213,853,744 = 213,853,744 : x
  2. Step 2: Convert to fraction form
    98,689,540/213,853,744 = 213,853,744/x
  3. Step 3: Cross multiply
    98,689,540x = 213,853,744 × 213,853,744
  4. Step 4: Simplify right side
    98,689,540x = 45,733,423,822,817,536
  5. Step 5: Solve for x
    x = 45,733,423,822,817,536/98,689,540
  6. Step 6: Final answer
    x = 463,407,001.62

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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.