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Finding the Third Proportional to 75,474 and 102,138

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Solution

The third proportional to 75,474 and 102,138 is: 138,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,474 : 102,138 = 102,138 : x
  2. Step 2: Convert to fraction form
    75,474/102,138 = 102,138/x
  3. Step 3: Cross multiply
    75,474x = 102,138 × 102,138
  4. Step 4: Simplify right side
    75,474x = 10,432,171,044
  5. Step 5: Solve for x
    x = 10,432,171,044/75,474
  6. Step 6: Final answer
    x = 138,222.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.