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Finding the Third Proportional to 44,586 and 71,691.75

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Solution

The third proportional to 44,586 and 71,691.75 is: 115,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,586 : 71,691.75 = 71,691.75 : x
  2. Step 2: Convert to fraction form
    44,586/71,691.75 = 71,691.75/x
  3. Step 3: Cross multiply
    44,586x = 71,691.75 × 71,691.75
  4. Step 4: Simplify right side
    44,586x = 5,139,707,018.06
  5. Step 5: Solve for x
    x = 5,139,707,018.06/44,586
  6. Step 6: Final answer
    x = 115,276.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.