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Finding the Third Proportional to 447,074 and 676,389

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Solution

The third proportional to 447,074 and 676,389 is: 1,023,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,074 : 676,389 = 676,389 : x
  2. Step 2: Convert to fraction form
    447,074/676,389 = 676,389/x
  3. Step 3: Cross multiply
    447,074x = 676,389 × 676,389
  4. Step 4: Simplify right side
    447,074x = 457,502,079,321
  5. Step 5: Solve for x
    x = 457,502,079,321/447,074
  6. Step 6: Final answer
    x = 1,023,325.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.