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Finding the Third Proportional to 85,331 and 114,872

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Solution

The third proportional to 85,331 and 114,872 is: 154,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,331 : 114,872 = 114,872 : x
  2. Step 2: Convert to fraction form
    85,331/114,872 = 114,872/x
  3. Step 3: Cross multiply
    85,331x = 114,872 × 114,872
  4. Step 4: Simplify right side
    85,331x = 13,195,576,384
  5. Step 5: Solve for x
    x = 13,195,576,384/85,331
  6. Step 6: Final answer
    x = 154,639.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.