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Finding the Third Proportional to 173.13 and 288.53

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Solution

The third proportional to 173.13 and 288.53 is: 480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.13 : 288.53 = 288.53 : x
  2. Step 2: Convert to fraction form
    173.13/288.53 = 288.53/x
  3. Step 3: Cross multiply
    173.13x = 288.53 × 288.53
  4. Step 4: Simplify right side
    173.13x = 83,250.28
  5. Step 5: Solve for x
    x = 83,250.28/173.13
  6. Step 6: Final answer
    x = 480.87

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.