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Finding the Third Proportional to 55,564 and 121,940

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Solution

The third proportional to 55,564 and 121,940 is: 267,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,564 : 121,940 = 121,940 : x
  2. Step 2: Convert to fraction form
    55,564/121,940 = 121,940/x
  3. Step 3: Cross multiply
    55,564x = 121,940 × 121,940
  4. Step 4: Simplify right side
    55,564x = 14,869,363,600
  5. Step 5: Solve for x
    x = 14,869,363,600/55,564
  6. Step 6: Final answer
    x = 267,607.87

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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.