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Finding the Third Proportional to 122,331 and 187,385

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Solution

The third proportional to 122,331 and 187,385 is: 287,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,331 : 187,385 = 187,385 : x
  2. Step 2: Convert to fraction form
    122,331/187,385 = 187,385/x
  3. Step 3: Cross multiply
    122,331x = 187,385 × 187,385
  4. Step 4: Simplify right side
    122,331x = 35,113,138,225
  5. Step 5: Solve for x
    x = 35,113,138,225/122,331
  6. Step 6: Final answer
    x = 287,033.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.