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Finding the Third Proportional to 84,429 and 133,691

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Solution

The third proportional to 84,429 and 133,691 is: 211,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,429 : 133,691 = 133,691 : x
  2. Step 2: Convert to fraction form
    84,429/133,691 = 133,691/x
  3. Step 3: Cross multiply
    84,429x = 133,691 × 133,691
  4. Step 4: Simplify right side
    84,429x = 17,873,283,481
  5. Step 5: Solve for x
    x = 17,873,283,481/84,429
  6. Step 6: Final answer
    x = 211,696.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.