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Finding the Third Proportional to 331,228 and 718,472

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Solution

The third proportional to 331,228 and 718,472 is: 1,558,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,228 : 718,472 = 718,472 : x
  2. Step 2: Convert to fraction form
    331,228/718,472 = 718,472/x
  3. Step 3: Cross multiply
    331,228x = 718,472 × 718,472
  4. Step 4: Simplify right side
    331,228x = 516,202,014,784
  5. Step 5: Solve for x
    x = 516,202,014,784/331,228
  6. Step 6: Final answer
    x = 1,558,449.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.