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Finding the Third Proportional to 74,569 and 112,939

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Solution

The third proportional to 74,569 and 112,939 is: 171,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,569 : 112,939 = 112,939 : x
  2. Step 2: Convert to fraction form
    74,569/112,939 = 112,939/x
  3. Step 3: Cross multiply
    74,569x = 112,939 × 112,939
  4. Step 4: Simplify right side
    74,569x = 12,755,217,721
  5. Step 5: Solve for x
    x = 12,755,217,721/74,569
  6. Step 6: Final answer
    x = 171,052.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.