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Finding the Third Proportional to 393,610 and 862,874

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Solution

The third proportional to 393,610 and 862,874 is: 1,891,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,610 : 862,874 = 862,874 : x
  2. Step 2: Convert to fraction form
    393,610/862,874 = 862,874/x
  3. Step 3: Cross multiply
    393,610x = 862,874 × 862,874
  4. Step 4: Simplify right side
    393,610x = 744,551,539,876
  5. Step 5: Solve for x
    x = 744,551,539,876/393,610
  6. Step 6: Final answer
    x = 1,891,597.11

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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.