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Finding the Third Proportional to 61,649 and 126,211

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Solution

The third proportional to 61,649 and 126,211 is: 258,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,649 : 126,211 = 126,211 : x
  2. Step 2: Convert to fraction form
    61,649/126,211 = 126,211/x
  3. Step 3: Cross multiply
    61,649x = 126,211 × 126,211
  4. Step 4: Simplify right side
    61,649x = 15,929,216,521
  5. Step 5: Solve for x
    x = 15,929,216,521/61,649
  6. Step 6: Final answer
    x = 258,385.64

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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.