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Finding the Third Proportional to 338,256 and 743,472

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Solution

The third proportional to 338,256 and 743,472 is: 1,634,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,256 : 743,472 = 743,472 : x
  2. Step 2: Convert to fraction form
    338,256/743,472 = 743,472/x
  3. Step 3: Cross multiply
    338,256x = 743,472 × 743,472
  4. Step 4: Simplify right side
    338,256x = 552,750,614,784
  5. Step 5: Solve for x
    x = 552,750,614,784/338,256
  6. Step 6: Final answer
    x = 1,634,119.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.