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Finding the Third Proportional to 115,471 and 172,745

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Solution

The third proportional to 115,471 and 172,745 is: 258,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,471 : 172,745 = 172,745 : x
  2. Step 2: Convert to fraction form
    115,471/172,745 = 172,745/x
  3. Step 3: Cross multiply
    115,471x = 172,745 × 172,745
  4. Step 4: Simplify right side
    115,471x = 29,840,835,025
  5. Step 5: Solve for x
    x = 29,840,835,025/115,471
  6. Step 6: Final answer
    x = 258,427.09

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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.