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Finding the Third Proportional to 589.78 and 649.27

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Solution

The third proportional to 589.78 and 649.27 is: 714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 649.27 = 649.27 : x
  2. Step 2: Convert to fraction form
    589.78/649.27 = 649.27/x
  3. Step 3: Cross multiply
    589.78x = 649.27 × 649.27
  4. Step 4: Simplify right side
    589.78x = 421,545.85
  5. Step 5: Solve for x
    x = 421,545.85/589.78
  6. Step 6: Final answer
    x = 714.75

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.