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Finding the Third Proportional to 55,649 and 121,909

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Solution

The third proportional to 55,649 and 121,909 is: 267,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649 : 121,909 = 121,909 : x
  2. Step 2: Convert to fraction form
    55,649/121,909 = 121,909/x
  3. Step 3: Cross multiply
    55,649x = 121,909 × 121,909
  4. Step 4: Simplify right side
    55,649x = 14,861,804,281
  5. Step 5: Solve for x
    x = 14,861,804,281/55,649
  6. Step 6: Final answer
    x = 267,063.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.