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Finding the Third Proportional to 408,872 and 620,688

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Solution

The third proportional to 408,872 and 620,688 is: 942,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,872 : 620,688 = 620,688 : x
  2. Step 2: Convert to fraction form
    408,872/620,688 = 620,688/x
  3. Step 3: Cross multiply
    408,872x = 620,688 × 620,688
  4. Step 4: Simplify right side
    408,872x = 385,253,593,344
  5. Step 5: Solve for x
    x = 385,253,593,344/408,872
  6. Step 6: Final answer
    x = 942,235.21

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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.