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Finding the Third Proportional to 84,129 and 129,311

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Solution

The third proportional to 84,129 and 129,311 is: 198,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129 : 129,311 = 129,311 : x
  2. Step 2: Convert to fraction form
    84,129/129,311 = 129,311/x
  3. Step 3: Cross multiply
    84,129x = 129,311 × 129,311
  4. Step 4: Simplify right side
    84,129x = 16,721,334,721
  5. Step 5: Solve for x
    x = 16,721,334,721/84,129
  6. Step 6: Final answer
    x = 198,758.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.