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Finding the Third Proportional to 131,814 and 187,839

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Solution

The third proportional to 131,814 and 187,839 is: 267,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,814 : 187,839 = 187,839 : x
  2. Step 2: Convert to fraction form
    131,814/187,839 = 187,839/x
  3. Step 3: Cross multiply
    131,814x = 187,839 × 187,839
  4. Step 4: Simplify right side
    131,814x = 35,283,489,921
  5. Step 5: Solve for x
    x = 35,283,489,921/131,814
  6. Step 6: Final answer
    x = 267,676.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.