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Finding the Third Proportional to 2.13 and 4.89

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Solution

The third proportional to 2.13 and 4.89 is: 11.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.13 : 4.89 = 4.89 : x
  2. Step 2: Convert to fraction form
    2.13/4.89 = 4.89/x
  3. Step 3: Cross multiply
    2.13x = 4.89 × 4.89
  4. Step 4: Simplify right side
    2.13x = 23.87
  5. Step 5: Solve for x
    x = 23.87/2.13
  6. Step 6: Final answer
    x = 11.21

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.