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Finding the Third Proportional to 133,839.84 and 287,146.27

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Solution

The third proportional to 133,839.84 and 287,146.27 is: 616,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,839.84 : 287,146.27 = 287,146.27 : x
  2. Step 2: Convert to fraction form
    133,839.84/287,146.27 = 287,146.27/x
  3. Step 3: Cross multiply
    133,839.84x = 287,146.27 × 287,146.27
  4. Step 4: Simplify right side
    133,839.84x = 82,452,977,862.38
  5. Step 5: Solve for x
    x = 82,452,977,862.38/133,839.84
  6. Step 6: Final answer
    x = 616,057.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.