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Finding the Third Proportional to 103,625 and 137,548

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Solution

The third proportional to 103,625 and 137,548 is: 182,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,625 : 137,548 = 137,548 : x
  2. Step 2: Convert to fraction form
    103,625/137,548 = 137,548/x
  3. Step 3: Cross multiply
    103,625x = 137,548 × 137,548
  4. Step 4: Simplify right side
    103,625x = 18,919,452,304
  5. Step 5: Solve for x
    x = 18,919,452,304/103,625
  6. Step 6: Final answer
    x = 182,576.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.