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Finding the Third Proportional to 216.75 and 294.14

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Solution

The third proportional to 216.75 and 294.14 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 294.14 = 294.14 : x
  2. Step 2: Convert to fraction form
    216.75/294.14 = 294.14/x
  3. Step 3: Cross multiply
    216.75x = 294.14 × 294.14
  4. Step 4: Simplify right side
    216.75x = 86,518.71
  5. Step 5: Solve for x
    x = 86,518.71/216.75
  6. Step 6: Final answer
    x = 399.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.