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Finding the Third Proportional to 75,351 and 102,339

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Solution

The third proportional to 75,351 and 102,339 is: 138,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351 : 102,339 = 102,339 : x
  2. Step 2: Convert to fraction form
    75,351/102,339 = 102,339/x
  3. Step 3: Cross multiply
    75,351x = 102,339 × 102,339
  4. Step 4: Simplify right side
    75,351x = 10,473,270,921
  5. Step 5: Solve for x
    x = 10,473,270,921/75,351
  6. Step 6: Final answer
    x = 138,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.