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Finding the Third Proportional to 103,631 and 137,557

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Solution

The third proportional to 103,631 and 137,557 is: 182,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631 : 137,557 = 137,557 : x
  2. Step 2: Convert to fraction form
    103,631/137,557 = 137,557/x
  3. Step 3: Cross multiply
    103,631x = 137,557 × 137,557
  4. Step 4: Simplify right side
    103,631x = 18,921,928,249
  5. Step 5: Solve for x
    x = 18,921,928,249/103,631
  6. Step 6: Final answer
    x = 182,589.46

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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.