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Finding the Third Proportional to 83,630 and 178,708

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Solution

The third proportional to 83,630 and 178,708 is: 381,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,630 : 178,708 = 178,708 : x
  2. Step 2: Convert to fraction form
    83,630/178,708 = 178,708/x
  3. Step 3: Cross multiply
    83,630x = 178,708 × 178,708
  4. Step 4: Simplify right side
    83,630x = 31,936,549,264
  5. Step 5: Solve for x
    x = 31,936,549,264/83,630
  6. Step 6: Final answer
    x = 381,879.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.