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Finding the Third Proportional to 81,519.75 and 119,917.13

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Solution

The third proportional to 81,519.75 and 119,917.13 is: 176,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,519.75 : 119,917.13 = 119,917.13 : x
  2. Step 2: Convert to fraction form
    81,519.75/119,917.13 = 119,917.13/x
  3. Step 3: Cross multiply
    81,519.75x = 119,917.13 × 119,917.13
  4. Step 4: Simplify right side
    81,519.75x = 14,380,116,868.27
  5. Step 5: Solve for x
    x = 14,380,116,868.27/81,519.75
  6. Step 6: Final answer
    x = 176,400.40

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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.