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Finding the Third Proportional to 169,434 and 356,340

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Solution

The third proportional to 169,434 and 356,340 is: 749,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,434 : 356,340 = 356,340 : x
  2. Step 2: Convert to fraction form
    169,434/356,340 = 356,340/x
  3. Step 3: Cross multiply
    169,434x = 356,340 × 356,340
  4. Step 4: Simplify right side
    169,434x = 126,978,195,600
  5. Step 5: Solve for x
    x = 126,978,195,600/169,434
  6. Step 6: Final answer
    x = 749,425.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.