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Finding the Third Proportional to 8.99 and 19.64

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Solution

The third proportional to 8.99 and 19.64 is: 42.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.99 : 19.64 = 19.64 : x
  2. Step 2: Convert to fraction form
    8.99/19.64 = 19.64/x
  3. Step 3: Cross multiply
    8.99x = 19.64 × 19.64
  4. Step 4: Simplify right side
    8.99x = 385.87
  5. Step 5: Solve for x
    x = 385.87/8.99
  6. Step 6: Final answer
    x = 42.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.