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Finding the Third Proportional to 103,624 and 137,543

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Solution

The third proportional to 103,624 and 137,543 is: 182,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 137,543 = 137,543 : x
  2. Step 2: Convert to fraction form
    103,624/137,543 = 137,543/x
  3. Step 3: Cross multiply
    103,624x = 137,543 × 137,543
  4. Step 4: Simplify right side
    103,624x = 18,918,076,849
  5. Step 5: Solve for x
    x = 18,918,076,849/103,624
  6. Step 6: Final answer
    x = 182,564.63

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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.