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Finding the Third Proportional to 395,432 and 869,576

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Solution

The third proportional to 395,432 and 869,576 is: 1,912,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,432 : 869,576 = 869,576 : x
  2. Step 2: Convert to fraction form
    395,432/869,576 = 869,576/x
  3. Step 3: Cross multiply
    395,432x = 869,576 × 869,576
  4. Step 4: Simplify right side
    395,432x = 756,162,419,776
  5. Step 5: Solve for x
    x = 756,162,419,776/395,432
  6. Step 6: Final answer
    x = 1,912,243.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.