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Finding the Third Proportional to 408,934 and 620,759

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Solution

The third proportional to 408,934 and 620,759 is: 942,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,934 : 620,759 = 620,759 : x
  2. Step 2: Convert to fraction form
    408,934/620,759 = 620,759/x
  3. Step 3: Cross multiply
    408,934x = 620,759 × 620,759
  4. Step 4: Simplify right side
    408,934x = 385,341,736,081
  5. Step 5: Solve for x
    x = 385,341,736,081/408,934
  6. Step 6: Final answer
    x = 942,307.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.