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Finding the Third Proportional to 30.88 and 74.50

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Solution

The third proportional to 30.88 and 74.50 is: 179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.88 : 74.50 = 74.50 : x
  2. Step 2: Convert to fraction form
    30.88/74.50 = 74.50/x
  3. Step 3: Cross multiply
    30.88x = 74.50 × 74.50
  4. Step 4: Simplify right side
    30.88x = 5,550.25
  5. Step 5: Solve for x
    x = 5,550.25/30.88
  6. Step 6: Final answer
    x = 179.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.