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Finding the Third Proportional to 81,470.16 and 119,288.53

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Solution

The third proportional to 81,470.16 and 119,288.53 is: 174,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470.16 : 119,288.53 = 119,288.53 : x
  2. Step 2: Convert to fraction form
    81,470.16/119,288.53 = 119,288.53/x
  3. Step 3: Cross multiply
    81,470.16x = 119,288.53 × 119,288.53
  4. Step 4: Simplify right side
    81,470.16x = 14,229,753,687.78
  5. Step 5: Solve for x
    x = 14,229,753,687.78/81,470.16
  6. Step 6: Final answer
    x = 174,662.16

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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.