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Finding the Third Proportional to 408,016 and 674,272

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Solution

The third proportional to 408,016 and 674,272 is: 1,114,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,016 : 674,272 = 674,272 : x
  2. Step 2: Convert to fraction form
    408,016/674,272 = 674,272/x
  3. Step 3: Cross multiply
    408,016x = 674,272 × 674,272
  4. Step 4: Simplify right side
    408,016x = 454,642,729,984
  5. Step 5: Solve for x
    x = 454,642,729,984/408,016
  6. Step 6: Final answer
    x = 1,114,276.72

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.