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Finding the Third Proportional to 15.25 and 31.70

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Solution

The third proportional to 15.25 and 31.70 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.25 : 31.70 = 31.70 : x
  2. Step 2: Convert to fraction form
    15.25/31.70 = 31.70/x
  3. Step 3: Cross multiply
    15.25x = 31.70 × 31.70
  4. Step 4: Simplify right side
    15.25x = 1,005.00
  5. Step 5: Solve for x
    x = 1,005.00/15.25
  6. Step 6: Final answer
    x = 65.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.