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Finding the Third Proportional to 261,921,330 and 410,876,721

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Solution

The third proportional to 261,921,330 and 410,876,721 is: 644,543,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,921,330 : 410,876,721 = 410,876,721 : x
  2. Step 2: Convert to fraction form
    261,921,330/410,876,721 = 410,876,721/x
  3. Step 3: Cross multiply
    261,921,330x = 410,876,721 × 410,876,721
  4. Step 4: Simplify right side
    261,921,330x = 168,819,679,859,711,840
  5. Step 5: Solve for x
    x = 168,819,679,859,711,840/261,921,330
  6. Step 6: Final answer
    x = 644,543,458.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.