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Finding the Third Proportional to 72.06 and 97.81

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Solution

The third proportional to 72.06 and 97.81 is: 132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.06 : 97.81 = 97.81 : x
  2. Step 2: Convert to fraction form
    72.06/97.81 = 97.81/x
  3. Step 3: Cross multiply
    72.06x = 97.81 × 97.81
  4. Step 4: Simplify right side
    72.06x = 9,567.29
  5. Step 5: Solve for x
    x = 9,567.29/72.06
  6. Step 6: Final answer
    x = 132.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.