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Finding the Third Proportional to 13.03 and 16.59

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Solution

The third proportional to 13.03 and 16.59 is: 21.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.03 : 16.59 = 16.59 : x
  2. Step 2: Convert to fraction form
    13.03/16.59 = 16.59/x
  3. Step 3: Cross multiply
    13.03x = 16.59 × 16.59
  4. Step 4: Simplify right side
    13.03x = 275.35
  5. Step 5: Solve for x
    x = 275.35/13.03
  6. Step 6: Final answer
    x = 21.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.