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Finding the Third Proportional to 4.24 and 9.99

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Solution

The third proportional to 4.24 and 9.99 is: 23.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.24 : 9.99 = 9.99 : x
  2. Step 2: Convert to fraction form
    4.24/9.99 = 9.99/x
  3. Step 3: Cross multiply
    4.24x = 9.99 × 9.99
  4. Step 4: Simplify right side
    4.24x = 99.89
  5. Step 5: Solve for x
    x = 99.89/4.24
  6. Step 6: Final answer
    x = 23.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.