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Finding the Third Proportional to 1.03 and 1.31

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Solution

The third proportional to 1.03 and 1.31 is: 1.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.03 : 1.31 = 1.31 : x
  2. Step 2: Convert to fraction form
    1.03/1.31 = 1.31/x
  3. Step 3: Cross multiply
    1.03x = 1.31 × 1.31
  4. Step 4: Simplify right side
    1.03x = 1.72
  5. Step 5: Solve for x
    x = 1.72/1.03
  6. Step 6: Final answer
    x = 1.67

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.