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Finding the Third Proportional to 1 and 1.25

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Solution

The third proportional to 1 and 1.25 is: 1.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1 : 1.25 = 1.25 : x
  2. Step 2: Convert to fraction form
    1/1.25 = 1.25/x
  3. Step 3: Cross multiply
    1x = 1.25 × 1.25
  4. Step 4: Simplify right side
    1x = 1.56
  5. Step 5: Solve for x
    x = 1.56/1
  6. Step 6: Final answer
    x = 1.56

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.