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Finding the Third Proportional to 115,456 and 172,720

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Solution

The third proportional to 115,456 and 172,720 is: 258,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,456 : 172,720 = 172,720 : x
  2. Step 2: Convert to fraction form
    115,456/172,720 = 172,720/x
  3. Step 3: Cross multiply
    115,456x = 172,720 × 172,720
  4. Step 4: Simplify right side
    115,456x = 29,832,198,400
  5. Step 5: Solve for x
    x = 29,832,198,400/115,456
  6. Step 6: Final answer
    x = 258,385.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.