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Finding the Third Proportional to 133,799 and 289,651

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Solution

The third proportional to 133,799 and 289,651 is: 627,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,799 : 289,651 = 289,651 : x
  2. Step 2: Convert to fraction form
    133,799/289,651 = 289,651/x
  3. Step 3: Cross multiply
    133,799x = 289,651 × 289,651
  4. Step 4: Simplify right side
    133,799x = 83,897,701,801
  5. Step 5: Solve for x
    x = 83,897,701,801/133,799
  6. Step 6: Final answer
    x = 627,042.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.