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Finding the Third Proportional to 408,721.50 and 637,917.75

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Solution

The third proportional to 408,721.50 and 637,917.75 is: 995,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,721.50 : 637,917.75 = 637,917.75 : x
  2. Step 2: Convert to fraction form
    408,721.50/637,917.75 = 637,917.75/x
  3. Step 3: Cross multiply
    408,721.50x = 637,917.75 × 637,917.75
  4. Step 4: Simplify right side
    408,721.50x = 406,939,055,765.06
  5. Step 5: Solve for x
    x = 406,939,055,765.06/408,721.50
  6. Step 6: Final answer
    x = 995,638.98

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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.