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Finding the Third Proportional to 15.88 and 32.36

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Solution

The third proportional to 15.88 and 32.36 is: 65.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.88 : 32.36 = 32.36 : x
  2. Step 2: Convert to fraction form
    15.88/32.36 = 32.36/x
  3. Step 3: Cross multiply
    15.88x = 32.36 × 32.36
  4. Step 4: Simplify right side
    15.88x = 1,047.13
  5. Step 5: Solve for x
    x = 1,047.13/15.88
  6. Step 6: Final answer
    x = 65.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.