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Finding the Third Proportional to 424.81 and 649.90

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Solution

The third proportional to 424.81 and 649.90 is: 994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.81 : 649.90 = 649.90 : x
  2. Step 2: Convert to fraction form
    424.81/649.90 = 649.90/x
  3. Step 3: Cross multiply
    424.81x = 649.90 × 649.90
  4. Step 4: Simplify right side
    424.81x = 422,367.98
  5. Step 5: Solve for x
    x = 422,367.98/424.81
  6. Step 6: Final answer
    x = 994.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.