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Finding the Third Proportional to 120,120 and 278,376

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Solution

The third proportional to 120,120 and 278,376 is: 645,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,120 : 278,376 = 278,376 : x
  2. Step 2: Convert to fraction form
    120,120/278,376 = 278,376/x
  3. Step 3: Cross multiply
    120,120x = 278,376 × 278,376
  4. Step 4: Simplify right side
    120,120x = 77,493,197,376
  5. Step 5: Solve for x
    x = 77,493,197,376/120,120
  6. Step 6: Final answer
    x = 645,131.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.