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Finding the Third Proportional to 62,405 and 136,474

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Solution

The third proportional to 62,405 and 136,474 is: 298,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,405 : 136,474 = 136,474 : x
  2. Step 2: Convert to fraction form
    62,405/136,474 = 136,474/x
  3. Step 3: Cross multiply
    62,405x = 136,474 × 136,474
  4. Step 4: Simplify right side
    62,405x = 18,625,152,676
  5. Step 5: Solve for x
    x = 18,625,152,676/62,405
  6. Step 6: Final answer
    x = 298,456.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.