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Finding the Third Proportional to 185,239.50 and 399,279

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Solution

The third proportional to 185,239.50 and 399,279 is: 860,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,239.50 : 399,279 = 399,279 : x
  2. Step 2: Convert to fraction form
    185,239.50/399,279 = 399,279/x
  3. Step 3: Cross multiply
    185,239.50x = 399,279 × 399,279
  4. Step 4: Simplify right side
    185,239.50x = 159,423,719,841
  5. Step 5: Solve for x
    x = 159,423,719,841/185,239.50
  6. Step 6: Final answer
    x = 860,635.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.