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Finding the Third Proportional to 15.12 and 31.70

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Solution

The third proportional to 15.12 and 31.70 is: 66.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.12 : 31.70 = 31.70 : x
  2. Step 2: Convert to fraction form
    15.12/31.70 = 31.70/x
  3. Step 3: Cross multiply
    15.12x = 31.70 × 31.70
  4. Step 4: Simplify right side
    15.12x = 1,004.71
  5. Step 5: Solve for x
    x = 1,004.71/15.12
  6. Step 6: Final answer
    x = 66.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.