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Finding the Third Proportional to 1.31 and 2.02

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Solution

The third proportional to 1.31 and 2.02 is: 3.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.31 : 2.02 = 2.02 : x
  2. Step 2: Convert to fraction form
    1.31/2.02 = 2.02/x
  3. Step 3: Cross multiply
    1.31x = 2.02 × 2.02
  4. Step 4: Simplify right side
    1.31x = 4.07
  5. Step 5: Solve for x
    x = 4.07/1.31
  6. Step 6: Final answer
    x = 3.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.