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Finding the Third Proportional to 10.08 and 14.20

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Solution

The third proportional to 10.08 and 14.20 is: 19.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.08 : 14.20 = 14.20 : x
  2. Step 2: Convert to fraction form
    10.08/14.20 = 14.20/x
  3. Step 3: Cross multiply
    10.08x = 14.20 × 14.20
  4. Step 4: Simplify right side
    10.08x = 201.50
  5. Step 5: Solve for x
    x = 201.50/10.08
  6. Step 6: Final answer
    x = 19.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.