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Finding the Third Proportional to 376.29 and 724.10

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Solution

The third proportional to 376.29 and 724.10 is: 1,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.29 : 724.10 = 724.10 : x
  2. Step 2: Convert to fraction form
    376.29/724.10 = 724.10/x
  3. Step 3: Cross multiply
    376.29x = 724.10 × 724.10
  4. Step 4: Simplify right side
    376.29x = 524,314.59
  5. Step 5: Solve for x
    x = 524,314.59/376.29
  6. Step 6: Final answer
    x = 1,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.