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Finding the Third Proportional to 82,640 and 131,344

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Solution

The third proportional to 82,640 and 131,344 is: 208,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,640 : 131,344 = 131,344 : x
  2. Step 2: Convert to fraction form
    82,640/131,344 = 131,344/x
  3. Step 3: Cross multiply
    82,640x = 131,344 × 131,344
  4. Step 4: Simplify right side
    82,640x = 17,251,246,336
  5. Step 5: Solve for x
    x = 17,251,246,336/82,640
  6. Step 6: Final answer
    x = 208,751.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.