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Finding the Third Proportional to 118,375 and 279,399

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Solution

The third proportional to 118,375 and 279,399 is: 659,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,375 : 279,399 = 279,399 : x
  2. Step 2: Convert to fraction form
    118,375/279,399 = 279,399/x
  3. Step 3: Cross multiply
    118,375x = 279,399 × 279,399
  4. Step 4: Simplify right side
    118,375x = 78,063,801,201
  5. Step 5: Solve for x
    x = 78,063,801,201/118,375
  6. Step 6: Final answer
    x = 659,461.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.