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Finding the Third Proportional to 34,908 and 54,138

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Solution

The third proportional to 34,908 and 54,138 is: 83,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,908 : 54,138 = 54,138 : x
  2. Step 2: Convert to fraction form
    34,908/54,138 = 54,138/x
  3. Step 3: Cross multiply
    34,908x = 54,138 × 54,138
  4. Step 4: Simplify right side
    34,908x = 2,930,923,044
  5. Step 5: Solve for x
    x = 2,930,923,044/34,908
  6. Step 6: Final answer
    x = 83,961.36

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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.