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Finding the Third Proportional to 409.43 and 613.20

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Solution

The third proportional to 409.43 and 613.20 is: 918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 613.20 = 613.20 : x
  2. Step 2: Convert to fraction form
    409.43/613.20 = 613.20/x
  3. Step 3: Cross multiply
    409.43x = 613.20 × 613.20
  4. Step 4: Simplify right side
    409.43x = 376,008.49
  5. Step 5: Solve for x
    x = 376,008.49/409.43
  6. Step 6: Final answer
    x = 918.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.