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Finding the Third Proportional to 392,772 and 862,008

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Solution

The third proportional to 392,772 and 862,008 is: 1,891,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,772 : 862,008 = 862,008 : x
  2. Step 2: Convert to fraction form
    392,772/862,008 = 862,008/x
  3. Step 3: Cross multiply
    392,772x = 862,008 × 862,008
  4. Step 4: Simplify right side
    392,772x = 743,057,792,064
  5. Step 5: Solve for x
    x = 743,057,792,064/392,772
  6. Step 6: Final answer
    x = 1,891,829.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.