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Finding the Third Proportional to 318.61 and 487.42

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Solution

The third proportional to 318.61 and 487.42 is: 745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.61 : 487.42 = 487.42 : x
  2. Step 2: Convert to fraction form
    318.61/487.42 = 487.42/x
  3. Step 3: Cross multiply
    318.61x = 487.42 × 487.42
  4. Step 4: Simplify right side
    318.61x = 237,581.99
  5. Step 5: Solve for x
    x = 237,581.99/318.61
  6. Step 6: Final answer
    x = 745.68

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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.