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Finding the Third Proportional to 115,564 and 172,866

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Solution

The third proportional to 115,564 and 172,866 is: 258,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,564 : 172,866 = 172,866 : x
  2. Step 2: Convert to fraction form
    115,564/172,866 = 172,866/x
  3. Step 3: Cross multiply
    115,564x = 172,866 × 172,866
  4. Step 4: Simplify right side
    115,564x = 29,882,653,956
  5. Step 5: Solve for x
    x = 29,882,653,956/115,564
  6. Step 6: Final answer
    x = 258,580.99

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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.