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Finding the Third Proportional to 30.66 and 72.77

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Solution

The third proportional to 30.66 and 72.77 is: 172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 72.77 = 72.77 : x
  2. Step 2: Convert to fraction form
    30.66/72.77 = 72.77/x
  3. Step 3: Cross multiply
    30.66x = 72.77 × 72.77
  4. Step 4: Simplify right side
    30.66x = 5,295.97
  5. Step 5: Solve for x
    x = 5,295.97/30.66
  6. Step 6: Final answer
    x = 172.75

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.