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Finding the Third Proportional to 399,976 and 562,544

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Solution

The third proportional to 399,976 and 562,544 is: 791,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,976 : 562,544 = 562,544 : x
  2. Step 2: Convert to fraction form
    399,976/562,544 = 562,544/x
  3. Step 3: Cross multiply
    399,976x = 562,544 × 562,544
  4. Step 4: Simplify right side
    399,976x = 316,455,751,936
  5. Step 5: Solve for x
    x = 316,455,751,936/399,976
  6. Step 6: Final answer
    x = 791,186.85

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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.