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Finding the Third Proportional to 1.75 and 3.90

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Solution

The third proportional to 1.75 and 3.90 is: 8.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.75 : 3.90 = 3.90 : x
  2. Step 2: Convert to fraction form
    1.75/3.90 = 3.90/x
  3. Step 3: Cross multiply
    1.75x = 3.90 × 3.90
  4. Step 4: Simplify right side
    1.75x = 15.19
  5. Step 5: Solve for x
    x = 15.19/1.75
  6. Step 6: Final answer
    x = 8.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.