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Finding the Third Proportional to 47,540 and 74,769

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Solution

The third proportional to 47,540 and 74,769 is: 117,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,540 : 74,769 = 74,769 : x
  2. Step 2: Convert to fraction form
    47,540/74,769 = 74,769/x
  3. Step 3: Cross multiply
    47,540x = 74,769 × 74,769
  4. Step 4: Simplify right side
    47,540x = 5,590,403,361
  5. Step 5: Solve for x
    x = 5,590,403,361/47,540
  6. Step 6: Final answer
    x = 117,593.68

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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.