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Finding the Third Proportional to 218,512.13 and 475,479

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Solution

The third proportional to 218,512.13 and 475,479 is: 1,034,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,512.13 : 475,479 = 475,479 : x
  2. Step 2: Convert to fraction form
    218,512.13/475,479 = 475,479/x
  3. Step 3: Cross multiply
    218,512.13x = 475,479 × 475,479
  4. Step 4: Simplify right side
    218,512.13x = 226,080,279,441
  5. Step 5: Solve for x
    x = 226,080,279,441/218,512.13
  6. Step 6: Final answer
    x = 1,034,634.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.