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Finding the Third Proportional to 1.99 and 4.57

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Solution

The third proportional to 1.99 and 4.57 is: 10.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.99 : 4.57 = 4.57 : x
  2. Step 2: Convert to fraction form
    1.99/4.57 = 4.57/x
  3. Step 3: Cross multiply
    1.99x = 4.57 × 4.57
  4. Step 4: Simplify right side
    1.99x = 20.89
  5. Step 5: Solve for x
    x = 20.89/1.99
  6. Step 6: Final answer
    x = 10.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.