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Finding the Third Proportional to 207,228 and 447,540

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Solution

The third proportional to 207,228 and 447,540 is: 966,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,228 : 447,540 = 447,540 : x
  2. Step 2: Convert to fraction form
    207,228/447,540 = 447,540/x
  3. Step 3: Cross multiply
    207,228x = 447,540 × 447,540
  4. Step 4: Simplify right side
    207,228x = 200,292,051,600
  5. Step 5: Solve for x
    x = 200,292,051,600/207,228
  6. Step 6: Final answer
    x = 966,529.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.