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Finding the Third Proportional to 399,438 and 869,400

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Solution

The third proportional to 399,438 and 869,400 is: 1,892,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,438 : 869,400 = 869,400 : x
  2. Step 2: Convert to fraction form
    399,438/869,400 = 869,400/x
  3. Step 3: Cross multiply
    399,438x = 869,400 × 869,400
  4. Step 4: Simplify right side
    399,438x = 755,856,360,000
  5. Step 5: Solve for x
    x = 755,856,360,000/399,438
  6. Step 6: Final answer
    x = 1,892,299.58

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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.