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Finding the Third Proportional to 81,624.75 and 123,669.75

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Solution

The third proportional to 81,624.75 and 123,669.75 is: 187,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,624.75 : 123,669.75 = 123,669.75 : x
  2. Step 2: Convert to fraction form
    81,624.75/123,669.75 = 123,669.75/x
  3. Step 3: Cross multiply
    81,624.75x = 123,669.75 × 123,669.75
  4. Step 4: Simplify right side
    81,624.75x = 15,294,207,065.06
  5. Step 5: Solve for x
    x = 15,294,207,065.06/81,624.75
  6. Step 6: Final answer
    x = 187,372.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.