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Finding the Third Proportional to 78,633 and 171,087

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Solution

The third proportional to 78,633 and 171,087 is: 372,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,633 : 171,087 = 171,087 : x
  2. Step 2: Convert to fraction form
    78,633/171,087 = 171,087/x
  3. Step 3: Cross multiply
    78,633x = 171,087 × 171,087
  4. Step 4: Simplify right side
    78,633x = 29,270,761,569
  5. Step 5: Solve for x
    x = 29,270,761,569/78,633
  6. Step 6: Final answer
    x = 372,245.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.