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Finding the Third Proportional to 1.23 and 2.31

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Solution

The third proportional to 1.23 and 2.31 is: 4.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.23 : 2.31 = 2.31 : x
  2. Step 2: Convert to fraction form
    1.23/2.31 = 2.31/x
  3. Step 3: Cross multiply
    1.23x = 2.31 × 2.31
  4. Step 4: Simplify right side
    1.23x = 5.35
  5. Step 5: Solve for x
    x = 5.35/1.23
  6. Step 6: Final answer
    x = 4.33

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.