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Finding the Third Proportional to 15.61 and 26.80

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Solution

The third proportional to 15.61 and 26.80 is: 46.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.61 : 26.80 = 26.80 : x
  2. Step 2: Convert to fraction form
    15.61/26.80 = 26.80/x
  3. Step 3: Cross multiply
    15.61x = 26.80 × 26.80
  4. Step 4: Simplify right side
    15.61x = 718.49
  5. Step 5: Solve for x
    x = 718.49/15.61
  6. Step 6: Final answer
    x = 46.03

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.