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Finding the Third Proportional to 198,699,447,302 and 433,361,403,418

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Solution

The third proportional to 198,699,447,302 and 433,361,403,418 is: 945,156,660,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699,447,302 : 433,361,403,418 = 433,361,403,418 : x
  2. Step 2: Convert to fraction form
    198,699,447,302/433,361,403,418 = 433,361,403,418/x
  3. Step 3: Cross multiply
    198,699,447,302x = 433,361,403,418 × 433,361,403,418
  4. Step 4: Simplify right side
    198,699,447,302x = 187,802,105,972,418,553,053,184
  5. Step 5: Solve for x
    x = 187,802,105,972,418,553,053,184/198,699,447,302
  6. Step 6: Final answer
    x = 945,156,660,083.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.