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Finding the Third Proportional to 89,129 and 133,711

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Solution

The third proportional to 89,129 and 133,711 is: 200,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,129 : 133,711 = 133,711 : x
  2. Step 2: Convert to fraction form
    89,129/133,711 = 133,711/x
  3. Step 3: Cross multiply
    89,129x = 133,711 × 133,711
  4. Step 4: Simplify right side
    89,129x = 17,878,631,521
  5. Step 5: Solve for x
    x = 17,878,631,521/89,129
  6. Step 6: Final answer
    x = 200,592.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.