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Finding the Third Proportional to 81,264 and 119,488

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Solution

The third proportional to 81,264 and 119,488 is: 175,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,264 : 119,488 = 119,488 : x
  2. Step 2: Convert to fraction form
    81,264/119,488 = 119,488/x
  3. Step 3: Cross multiply
    81,264x = 119,488 × 119,488
  4. Step 4: Simplify right side
    81,264x = 14,277,382,144
  5. Step 5: Solve for x
    x = 14,277,382,144/81,264
  6. Step 6: Final answer
    x = 175,691.35

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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.