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Finding the Third Proportional to 55,120 and 121,184

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Solution

The third proportional to 55,120 and 121,184 is: 266,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,120 : 121,184 = 121,184 : x
  2. Step 2: Convert to fraction form
    55,120/121,184 = 121,184/x
  3. Step 3: Cross multiply
    55,120x = 121,184 × 121,184
  4. Step 4: Simplify right side
    55,120x = 14,685,561,856
  5. Step 5: Solve for x
    x = 14,685,561,856/55,120
  6. Step 6: Final answer
    x = 266,428.92

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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.