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Finding the Third Proportional to 81,448 and 119,256

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Solution

The third proportional to 81,448 and 119,256 is: 174,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448 : 119,256 = 119,256 : x
  2. Step 2: Convert to fraction form
    81,448/119,256 = 119,256/x
  3. Step 3: Cross multiply
    81,448x = 119,256 × 119,256
  4. Step 4: Simplify right side
    81,448x = 14,221,993,536
  5. Step 5: Solve for x
    x = 14,221,993,536/81,448
  6. Step 6: Final answer
    x = 174,614.40

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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.