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Finding the Third Proportional to 250,207.50 and 387,279

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Solution

The third proportional to 250,207.50 and 387,279 is: 599,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,207.50 : 387,279 = 387,279 : x
  2. Step 2: Convert to fraction form
    250,207.50/387,279 = 387,279/x
  3. Step 3: Cross multiply
    250,207.50x = 387,279 × 387,279
  4. Step 4: Simplify right side
    250,207.50x = 149,985,023,841
  5. Step 5: Solve for x
    x = 149,985,023,841/250,207.50
  6. Step 6: Final answer
    x = 599,442.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.