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Finding the Third Proportional to 81,275.25 and 173,817

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Solution

The third proportional to 81,275.25 and 173,817 is: 371,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,275.25 : 173,817 = 173,817 : x
  2. Step 2: Convert to fraction form
    81,275.25/173,817 = 173,817/x
  3. Step 3: Cross multiply
    81,275.25x = 173,817 × 173,817
  4. Step 4: Simplify right side
    81,275.25x = 30,212,349,489
  5. Step 5: Solve for x
    x = 30,212,349,489/81,275.25
  6. Step 6: Final answer
    x = 371,728.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.