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Finding the Third Proportional to 1.90 and 12.97

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Solution

The third proportional to 1.90 and 12.97 is: 88.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.90 : 12.97 = 12.97 : x
  2. Step 2: Convert to fraction form
    1.90/12.97 = 12.97/x
  3. Step 3: Cross multiply
    1.90x = 12.97 × 12.97
  4. Step 4: Simplify right side
    1.90x = 168.29
  5. Step 5: Solve for x
    x = 168.29/1.90
  6. Step 6: Final answer
    x = 88.65

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Why These Related Problems?

These problems maintain the same ratio (6.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.