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Finding the Third Proportional to 55,961 and 121,385

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Solution

The third proportional to 55,961 and 121,385 is: 263,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,961 : 121,385 = 121,385 : x
  2. Step 2: Convert to fraction form
    55,961/121,385 = 121,385/x
  3. Step 3: Cross multiply
    55,961x = 121,385 × 121,385
  4. Step 4: Simplify right side
    55,961x = 14,734,318,225
  5. Step 5: Solve for x
    x = 14,734,318,225/55,961
  6. Step 6: Final answer
    x = 263,296.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.