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Finding the Third Proportional to 31 and 76.50

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Solution

The third proportional to 31 and 76.50 is: 188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 76.50 = 76.50 : x
  2. Step 2: Convert to fraction form
    31/76.50 = 76.50/x
  3. Step 3: Cross multiply
    31x = 76.50 × 76.50
  4. Step 4: Simplify right side
    31x = 5,852.25
  5. Step 5: Solve for x
    x = 5,852.25/31
  6. Step 6: Final answer
    x = 188.78

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.