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Finding the Third Proportional to 408,738 and 637,941

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Solution

The third proportional to 408,738 and 637,941 is: 995,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,738 : 637,941 = 637,941 : x
  2. Step 2: Convert to fraction form
    408,738/637,941 = 637,941/x
  3. Step 3: Cross multiply
    408,738x = 637,941 × 637,941
  4. Step 4: Simplify right side
    408,738x = 406,968,719,481
  5. Step 5: Solve for x
    x = 406,968,719,481/408,738
  6. Step 6: Final answer
    x = 995,671.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.