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Finding the Third Proportional to 14.06 and 21.00

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Solution

The third proportional to 14.06 and 21.00 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.06 : 21.00 = 21.00 : x
  2. Step 2: Convert to fraction form
    14.06/21.00 = 21.00/x
  3. Step 3: Cross multiply
    14.06x = 21.00 × 21.00
  4. Step 4: Simplify right side
    14.06x = 441.06
  5. Step 5: Solve for x
    x = 441.06/14.06
  6. Step 6: Final answer
    x = 31.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.