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Finding the Third Proportional to 10.56 and 13.72

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Solution

The third proportional to 10.56 and 13.72 is: 17.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.56 : 13.72 = 13.72 : x
  2. Step 2: Convert to fraction form
    10.56/13.72 = 13.72/x
  3. Step 3: Cross multiply
    10.56x = 13.72 × 13.72
  4. Step 4: Simplify right side
    10.56x = 188.35
  5. Step 5: Solve for x
    x = 188.35/10.56
  6. Step 6: Final answer
    x = 17.84

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.