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Finding the Third Proportional to 393,902 and 859,096

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Solution

The third proportional to 393,902 and 859,096 is: 1,873,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,902 : 859,096 = 859,096 : x
  2. Step 2: Convert to fraction form
    393,902/859,096 = 859,096/x
  3. Step 3: Cross multiply
    393,902x = 859,096 × 859,096
  4. Step 4: Simplify right side
    393,902x = 738,045,937,216
  5. Step 5: Solve for x
    x = 738,045,937,216/393,902
  6. Step 6: Final answer
    x = 1,873,679.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.