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Finding the Third Proportional to 81,365.25 and 176,257.50

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Solution

The third proportional to 81,365.25 and 176,257.50 is: 381,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,365.25 : 176,257.50 = 176,257.50 : x
  2. Step 2: Convert to fraction form
    81,365.25/176,257.50 = 176,257.50/x
  3. Step 3: Cross multiply
    81,365.25x = 176,257.50 × 176,257.50
  4. Step 4: Simplify right side
    81,365.25x = 31,066,706,306.25
  5. Step 5: Solve for x
    x = 31,066,706,306.25/81,365.25
  6. Step 6: Final answer
    x = 381,817.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.