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Finding the Third Proportional to 399,944 and 562,493

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Solution

The third proportional to 399,944 and 562,493 is: 791,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,944 : 562,493 = 562,493 : x
  2. Step 2: Convert to fraction form
    399,944/562,493 = 562,493/x
  3. Step 3: Cross multiply
    399,944x = 562,493 × 562,493
  4. Step 4: Simplify right side
    399,944x = 316,398,375,049
  5. Step 5: Solve for x
    x = 316,398,375,049/399,944
  6. Step 6: Final answer
    x = 791,106.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.