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Finding the Third Proportional to 55,577 and 119,908

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Solution

The third proportional to 55,577 and 119,908 is: 258,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,577 : 119,908 = 119,908 : x
  2. Step 2: Convert to fraction form
    55,577/119,908 = 119,908/x
  3. Step 3: Cross multiply
    55,577x = 119,908 × 119,908
  4. Step 4: Simplify right side
    55,577x = 14,377,928,464
  5. Step 5: Solve for x
    x = 14,377,928,464/55,577
  6. Step 6: Final answer
    x = 258,702.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.