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Finding the Third Proportional to 1.97 and 4.14

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Solution

The third proportional to 1.97 and 4.14 is: 8.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.97 : 4.14 = 4.14 : x
  2. Step 2: Convert to fraction form
    1.97/4.14 = 4.14/x
  3. Step 3: Cross multiply
    1.97x = 4.14 × 4.14
  4. Step 4: Simplify right side
    1.97x = 17.12
  5. Step 5: Solve for x
    x = 17.12/1.97
  6. Step 6: Final answer
    x = 8.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.