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Finding the Third Proportional to 1.29 and 1.69

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Solution

The third proportional to 1.29 and 1.69 is: 2.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.29 : 1.69 = 1.69 : x
  2. Step 2: Convert to fraction form
    1.29/1.69 = 1.69/x
  3. Step 3: Cross multiply
    1.29x = 1.69 × 1.69
  4. Step 4: Simplify right side
    1.29x = 2.84
  5. Step 5: Solve for x
    x = 2.84/1.29
  6. Step 6: Final answer
    x = 2.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.