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Finding the Third Proportional to 47,940 and 75,207

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Solution

The third proportional to 47,940 and 75,207 is: 117,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940 : 75,207 = 75,207 : x
  2. Step 2: Convert to fraction form
    47,940/75,207 = 75,207/x
  3. Step 3: Cross multiply
    47,940x = 75,207 × 75,207
  4. Step 4: Simplify right side
    47,940x = 5,656,092,849
  5. Step 5: Solve for x
    x = 5,656,092,849/47,940
  6. Step 6: Final answer
    x = 117,982.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.