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Finding the Third Proportional to 85,331 and 131,646

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Solution

The third proportional to 85,331 and 131,646 is: 203,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331 : 131,646 = 131,646 : x
  2. Step 2: Convert to fraction form
    85,331/131,646 = 131,646/x
  3. Step 3: Cross multiply
    85,331x = 131,646 × 131,646
  4. Step 4: Simplify right side
    85,331x = 17,330,669,316
  5. Step 5: Solve for x
    x = 17,330,669,316/85,331
  6. Step 6: Final answer
    x = 203,099.33

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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.