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Finding the Third Proportional to 81,472.31 and 119,292.19

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Solution

The third proportional to 81,472.31 and 119,292.19 is: 174,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472.31 : 119,292.19 = 119,292.19 : x
  2. Step 2: Convert to fraction form
    81,472.31/119,292.19 = 119,292.19/x
  3. Step 3: Cross multiply
    81,472.31x = 119,292.19 × 119,292.19
  4. Step 4: Simplify right side
    81,472.31x = 14,230,625,998.54
  5. Step 5: Solve for x
    x = 14,230,625,998.54/81,472.31
  6. Step 6: Final answer
    x = 174,668.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.