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Finding the Third Proportional to 270,793.13 and 421,179.75

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Solution

The third proportional to 270,793.13 and 421,179.75 is: 655,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,793.13 : 421,179.75 = 421,179.75 : x
  2. Step 2: Convert to fraction form
    270,793.13/421,179.75 = 421,179.75/x
  3. Step 3: Cross multiply
    270,793.13x = 421,179.75 × 421,179.75
  4. Step 4: Simplify right side
    270,793.13x = 177,392,381,810.06
  5. Step 5: Solve for x
    x = 177,392,381,810.06/270,793.13
  6. Step 6: Final answer
    x = 655,084.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.