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Finding the Third Proportional to 14.94 and 31.19

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Solution

The third proportional to 14.94 and 31.19 is: 65.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.94 : 31.19 = 31.19 : x
  2. Step 2: Convert to fraction form
    14.94/31.19 = 31.19/x
  3. Step 3: Cross multiply
    14.94x = 31.19 × 31.19
  4. Step 4: Simplify right side
    14.94x = 972.66
  5. Step 5: Solve for x
    x = 972.66/14.94
  6. Step 6: Final answer
    x = 65.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.