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Finding the Third Proportional to 115,424 and 172,672

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Solution

The third proportional to 115,424 and 172,672 is: 258,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,424 : 172,672 = 172,672 : x
  2. Step 2: Convert to fraction form
    115,424/172,672 = 172,672/x
  3. Step 3: Cross multiply
    115,424x = 172,672 × 172,672
  4. Step 4: Simplify right side
    115,424x = 29,815,619,584
  5. Step 5: Solve for x
    x = 29,815,619,584/115,424
  6. Step 6: Final answer
    x = 258,313.87

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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.