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Finding the Third Proportional to 212.41 and 310.61

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Solution

The third proportional to 212.41 and 310.61 is: 454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.41 : 310.61 = 310.61 : x
  2. Step 2: Convert to fraction form
    212.41/310.61 = 310.61/x
  3. Step 3: Cross multiply
    212.41x = 310.61 × 310.61
  4. Step 4: Simplify right side
    212.41x = 96,475.76
  5. Step 5: Solve for x
    x = 96,475.76/212.41
  6. Step 6: Final answer
    x = 454.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.