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Finding the Third Proportional to 15.61 and 41.06

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Solution

The third proportional to 15.61 and 41.06 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.61 : 41.06 = 41.06 : x
  2. Step 2: Convert to fraction form
    15.61/41.06 = 41.06/x
  3. Step 3: Cross multiply
    15.61x = 41.06 × 41.06
  4. Step 4: Simplify right side
    15.61x = 1,686.13
  5. Step 5: Solve for x
    x = 1,686.13/15.61
  6. Step 6: Final answer
    x = 108.02

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.