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Finding the Third Proportional to 72.88 and 176.13

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Solution

The third proportional to 72.88 and 176.13 is: 425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.88 : 176.13 = 176.13 : x
  2. Step 2: Convert to fraction form
    72.88/176.13 = 176.13/x
  3. Step 3: Cross multiply
    72.88x = 176.13 × 176.13
  4. Step 4: Simplify right side
    72.88x = 31,020.02
  5. Step 5: Solve for x
    x = 31,020.02/72.88
  6. Step 6: Final answer
    x = 425.66

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.