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Finding the Third Proportional to 103,619 and 137,539

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Solution

The third proportional to 103,619 and 137,539 is: 182,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 137,539 = 137,539 : x
  2. Step 2: Convert to fraction form
    103,619/137,539 = 137,539/x
  3. Step 3: Cross multiply
    103,619x = 137,539 × 137,539
  4. Step 4: Simplify right side
    103,619x = 18,916,976,521
  5. Step 5: Solve for x
    x = 18,916,976,521/103,619
  6. Step 6: Final answer
    x = 182,562.82

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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.