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Finding the Third Proportional to 2.99 and 6.55

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Solution

The third proportional to 2.99 and 6.55 is: 14.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.99 : 6.55 = 6.55 : x
  2. Step 2: Convert to fraction form
    2.99/6.55 = 6.55/x
  3. Step 3: Cross multiply
    2.99x = 6.55 × 6.55
  4. Step 4: Simplify right side
    2.99x = 42.84
  5. Step 5: Solve for x
    x = 42.84/2.99
  6. Step 6: Final answer
    x = 14.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.