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Finding the Third Proportional to 81,640 and 119,664

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Solution

The third proportional to 81,640 and 119,664 is: 175,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640 : 119,664 = 119,664 : x
  2. Step 2: Convert to fraction form
    81,640/119,664 = 119,664/x
  3. Step 3: Cross multiply
    81,640x = 119,664 × 119,664
  4. Step 4: Simplify right side
    81,640x = 14,319,472,896
  5. Step 5: Solve for x
    x = 14,319,472,896/81,640
  6. Step 6: Final answer
    x = 175,397.76

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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.