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Finding the Third Proportional to 115,479 and 172,752.75

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Solution

The third proportional to 115,479 and 172,752.75 is: 258,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,479 : 172,752.75 = 172,752.75 : x
  2. Step 2: Convert to fraction form
    115,479/172,752.75 = 172,752.75/x
  3. Step 3: Cross multiply
    115,479x = 172,752.75 × 172,752.75
  4. Step 4: Simplify right side
    115,479x = 29,843,512,632.56
  5. Step 5: Solve for x
    x = 29,843,512,632.56/115,479
  6. Step 6: Final answer
    x = 258,432.38

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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.