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Finding the Third Proportional to 408,722 and 637,918

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Solution

The third proportional to 408,722 and 637,918 is: 995,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,722 : 637,918 = 637,918 : x
  2. Step 2: Convert to fraction form
    408,722/637,918 = 637,918/x
  3. Step 3: Cross multiply
    408,722x = 637,918 × 637,918
  4. Step 4: Simplify right side
    408,722x = 406,939,374,724
  5. Step 5: Solve for x
    x = 406,939,374,724/408,722
  6. Step 6: Final answer
    x = 995,638.54

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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.