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Finding the Third Proportional to 392,418 and 621,795

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Solution

The third proportional to 392,418 and 621,795 is: 985,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,418 : 621,795 = 621,795 : x
  2. Step 2: Convert to fraction form
    392,418/621,795 = 621,795/x
  3. Step 3: Cross multiply
    392,418x = 621,795 × 621,795
  4. Step 4: Simplify right side
    392,418x = 386,629,022,025
  5. Step 5: Solve for x
    x = 386,629,022,025/392,418
  6. Step 6: Final answer
    x = 985,247.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.