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Finding the Third Proportional to 210.75 and 294.56

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Solution

The third proportional to 210.75 and 294.56 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.75 : 294.56 = 294.56 : x
  2. Step 2: Convert to fraction form
    210.75/294.56 = 294.56/x
  3. Step 3: Cross multiply
    210.75x = 294.56 × 294.56
  4. Step 4: Simplify right side
    210.75x = 86,767.07
  5. Step 5: Solve for x
    x = 86,767.07/210.75
  6. Step 6: Final answer
    x = 411.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.