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Finding the Third Proportional to 384.19 and 868.78

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Solution

The third proportional to 384.19 and 868.78 is: 1,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 868.78 = 868.78 : x
  2. Step 2: Convert to fraction form
    384.19/868.78 = 868.78/x
  3. Step 3: Cross multiply
    384.19x = 868.78 × 868.78
  4. Step 4: Simplify right side
    384.19x = 754,780.86
  5. Step 5: Solve for x
    x = 754,780.86/384.19
  6. Step 6: Final answer
    x = 1,964.62

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.