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Finding the Third Proportional to 408,652 and 637,814

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Solution

The third proportional to 408,652 and 637,814 is: 995,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,652 : 637,814 = 637,814 : x
  2. Step 2: Convert to fraction form
    408,652/637,814 = 637,814/x
  3. Step 3: Cross multiply
    408,652x = 637,814 × 637,814
  4. Step 4: Simplify right side
    408,652x = 406,806,698,596
  5. Step 5: Solve for x
    x = 406,806,698,596/408,652
  6. Step 6: Final answer
    x = 995,484.42

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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.