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Finding the Third Proportional to 49,063 and 75,908

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Solution

The third proportional to 49,063 and 75,908 is: 117,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,063 : 75,908 = 75,908 : x
  2. Step 2: Convert to fraction form
    49,063/75,908 = 75,908/x
  3. Step 3: Cross multiply
    49,063x = 75,908 × 75,908
  4. Step 4: Simplify right side
    49,063x = 5,762,024,464
  5. Step 5: Solve for x
    x = 5,762,024,464/49,063
  6. Step 6: Final answer
    x = 117,441.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.