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Finding the Third Proportional to 120,780 and 284,188

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Solution

The third proportional to 120,780 and 284,188 is: 668,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,780 : 284,188 = 284,188 : x
  2. Step 2: Convert to fraction form
    120,780/284,188 = 284,188/x
  3. Step 3: Cross multiply
    120,780x = 284,188 × 284,188
  4. Step 4: Simplify right side
    120,780x = 80,762,819,344
  5. Step 5: Solve for x
    x = 80,762,819,344/120,780
  6. Step 6: Final answer
    x = 668,677.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.