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Finding the Third Proportional to 6.45 and 14.16

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Solution

The third proportional to 6.45 and 14.16 is: 31.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.45 : 14.16 = 14.16 : x
  2. Step 2: Convert to fraction form
    6.45/14.16 = 14.16/x
  3. Step 3: Cross multiply
    6.45x = 14.16 × 14.16
  4. Step 4: Simplify right side
    6.45x = 200.40
  5. Step 5: Solve for x
    x = 200.40/6.45
  6. Step 6: Final answer
    x = 31.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.