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Finding the Third Proportional to 162,478 and 356,344

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Solution

The third proportional to 162,478 and 356,344 is: 781,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,478 : 356,344 = 356,344 : x
  2. Step 2: Convert to fraction form
    162,478/356,344 = 356,344/x
  3. Step 3: Cross multiply
    162,478x = 356,344 × 356,344
  4. Step 4: Simplify right side
    162,478x = 126,981,046,336
  5. Step 5: Solve for x
    x = 126,981,046,336/162,478
  6. Step 6: Final answer
    x = 781,527.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.