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Finding the Third Proportional to 2.95 and 6.46

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Solution

The third proportional to 2.95 and 6.46 is: 14.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.95 : 6.46 = 6.46 : x
  2. Step 2: Convert to fraction form
    2.95/6.46 = 6.46/x
  3. Step 3: Cross multiply
    2.95x = 6.46 × 6.46
  4. Step 4: Simplify right side
    2.95x = 41.73
  5. Step 5: Solve for x
    x = 41.73/2.95
  6. Step 6: Final answer
    x = 14.13

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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.