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Finding the Third Proportional to 15.17 and 32.64

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Solution

The third proportional to 15.17 and 32.64 is: 70.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.17 : 32.64 = 32.64 : x
  2. Step 2: Convert to fraction form
    15.17/32.64 = 32.64/x
  3. Step 3: Cross multiply
    15.17x = 32.64 × 32.64
  4. Step 4: Simplify right side
    15.17x = 1,065.54
  5. Step 5: Solve for x
    x = 1,065.54/15.17
  6. Step 6: Final answer
    x = 70.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.