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Finding the Third Proportional to 115,468 and 172,738

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Solution

The third proportional to 115,468 and 172,738 is: 258,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,468 : 172,738 = 172,738 : x
  2. Step 2: Convert to fraction form
    115,468/172,738 = 172,738/x
  3. Step 3: Cross multiply
    115,468x = 172,738 × 172,738
  4. Step 4: Simplify right side
    115,468x = 29,838,416,644
  5. Step 5: Solve for x
    x = 29,838,416,644/115,468
  6. Step 6: Final answer
    x = 258,412.86

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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.