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Finding the Third Proportional to 1.09 and 1.72

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Solution

The third proportional to 1.09 and 1.72 is: 2.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.09 : 1.72 = 1.72 : x
  2. Step 2: Convert to fraction form
    1.09/1.72 = 1.72/x
  3. Step 3: Cross multiply
    1.09x = 1.72 × 1.72
  4. Step 4: Simplify right side
    1.09x = 2.95
  5. Step 5: Solve for x
    x = 2.95/1.09
  6. Step 6: Final answer
    x = 2.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.