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Finding the Third Proportional to 81,197.44 and 119,335.78

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Solution

The third proportional to 81,197.44 and 119,335.78 is: 175,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197.44 : 119,335.78 = 119,335.78 : x
  2. Step 2: Convert to fraction form
    81,197.44/119,335.78 = 119,335.78/x
  3. Step 3: Cross multiply
    81,197.44x = 119,335.78 × 119,335.78
  4. Step 4: Simplify right side
    81,197.44x = 14,241,028,686.55
  5. Step 5: Solve for x
    x = 14,241,028,686.55/81,197.44
  6. Step 6: Final answer
    x = 175,387.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.