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Finding the Third Proportional to 208.13 and 318.50

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Solution

The third proportional to 208.13 and 318.50 is: 487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 318.50 = 318.50 : x
  2. Step 2: Convert to fraction form
    208.13/318.50 = 318.50/x
  3. Step 3: Cross multiply
    208.13x = 318.50 × 318.50
  4. Step 4: Simplify right side
    208.13x = 101,442.25
  5. Step 5: Solve for x
    x = 101,442.25/208.13
  6. Step 6: Final answer
    x = 487.41

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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.