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Finding the Third Proportional to 55,464 and 121,992

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Solution

The third proportional to 55,464 and 121,992 is: 268,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464 : 121,992 = 121,992 : x
  2. Step 2: Convert to fraction form
    55,464/121,992 = 121,992/x
  3. Step 3: Cross multiply
    55,464x = 121,992 × 121,992
  4. Step 4: Simplify right side
    55,464x = 14,882,048,064
  5. Step 5: Solve for x
    x = 14,882,048,064/55,464
  6. Step 6: Final answer
    x = 268,319.05

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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.