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Finding the Third Proportional to 55,446 and 121,622

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Solution

The third proportional to 55,446 and 121,622 is: 266,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,446 : 121,622 = 121,622 : x
  2. Step 2: Convert to fraction form
    55,446/121,622 = 121,622/x
  3. Step 3: Cross multiply
    55,446x = 121,622 × 121,622
  4. Step 4: Simplify right side
    55,446x = 14,791,910,884
  5. Step 5: Solve for x
    x = 14,791,910,884/55,446
  6. Step 6: Final answer
    x = 266,780.49

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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.