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Finding the Third Proportional to 589.78 and 868.22

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Solution

The third proportional to 589.78 and 868.22 is: 1,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 868.22 = 868.22 : x
  2. Step 2: Convert to fraction form
    589.78/868.22 = 868.22/x
  3. Step 3: Cross multiply
    589.78x = 868.22 × 868.22
  4. Step 4: Simplify right side
    589.78x = 753,803.80
  5. Step 5: Solve for x
    x = 753,803.80/589.78
  6. Step 6: Final answer
    x = 1,278.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.