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Finding the Third Proportional to 198,253,782 and 412,799,982

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Solution

The third proportional to 198,253,782 and 412,799,982 is: 859,523,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,253,782 : 412,799,982 = 412,799,982 : x
  2. Step 2: Convert to fraction form
    198,253,782/412,799,982 = 412,799,982/x
  3. Step 3: Cross multiply
    198,253,782x = 412,799,982 × 412,799,982
  4. Step 4: Simplify right side
    198,253,782x = 170,403,825,139,200,320
  5. Step 5: Solve for x
    x = 170,403,825,139,200,320/198,253,782
  6. Step 6: Final answer
    x = 859,523,704.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.