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Finding the Third Proportional to 399,627 and 562,824

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Solution

The third proportional to 399,627 and 562,824 is: 792,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,627 : 562,824 = 562,824 : x
  2. Step 2: Convert to fraction form
    399,627/562,824 = 562,824/x
  3. Step 3: Cross multiply
    399,627x = 562,824 × 562,824
  4. Step 4: Simplify right side
    399,627x = 316,770,854,976
  5. Step 5: Solve for x
    x = 316,770,854,976/399,627
  6. Step 6: Final answer
    x = 792,666.30

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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.