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Finding the Third Proportional to 399,704 and 856,386

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Solution

The third proportional to 399,704 and 856,386 is: 1,834,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,704 : 856,386 = 856,386 : x
  2. Step 2: Convert to fraction form
    399,704/856,386 = 856,386/x
  3. Step 3: Cross multiply
    399,704x = 856,386 × 856,386
  4. Step 4: Simplify right side
    399,704x = 733,396,980,996
  5. Step 5: Solve for x
    x = 733,396,980,996/399,704
  6. Step 6: Final answer
    x = 1,834,850.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.