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Finding the Third Proportional to 83,480 and 170,800

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Solution

The third proportional to 83,480 and 170,800 is: 349,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,480 : 170,800 = 170,800 : x
  2. Step 2: Convert to fraction form
    83,480/170,800 = 170,800/x
  3. Step 3: Cross multiply
    83,480x = 170,800 × 170,800
  4. Step 4: Simplify right side
    83,480x = 29,172,640,000
  5. Step 5: Solve for x
    x = 29,172,640,000/83,480
  6. Step 6: Final answer
    x = 349,456.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.