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Finding the Third Proportional to 55,386 and 121,849

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Solution

The third proportional to 55,386 and 121,849 is: 268,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,386 : 121,849 = 121,849 : x
  2. Step 2: Convert to fraction form
    55,386/121,849 = 121,849/x
  3. Step 3: Cross multiply
    55,386x = 121,849 × 121,849
  4. Step 4: Simplify right side
    55,386x = 14,847,178,801
  5. Step 5: Solve for x
    x = 14,847,178,801/55,386
  6. Step 6: Final answer
    x = 268,067.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.