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Finding the Third Proportional to 62,343 and 129,122

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Solution

The third proportional to 62,343 and 129,122 is: 267,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,343 : 129,122 = 129,122 : x
  2. Step 2: Convert to fraction form
    62,343/129,122 = 129,122/x
  3. Step 3: Cross multiply
    62,343x = 129,122 × 129,122
  4. Step 4: Simplify right side
    62,343x = 16,672,490,884
  5. Step 5: Solve for x
    x = 16,672,490,884/62,343
  6. Step 6: Final answer
    x = 267,431.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.