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Finding the Third Proportional to 81,630 and 126,140

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Solution

The third proportional to 81,630 and 126,140 is: 194,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,630 : 126,140 = 126,140 : x
  2. Step 2: Convert to fraction form
    81,630/126,140 = 126,140/x
  3. Step 3: Cross multiply
    81,630x = 126,140 × 126,140
  4. Step 4: Simplify right side
    81,630x = 15,911,299,600
  5. Step 5: Solve for x
    x = 15,911,299,600/81,630
  6. Step 6: Final answer
    x = 194,919.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.