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Finding the Third Proportional to 211.43 and 310.57

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Solution

The third proportional to 211.43 and 310.57 is: 456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.43 : 310.57 = 310.57 : x
  2. Step 2: Convert to fraction form
    211.43/310.57 = 310.57/x
  3. Step 3: Cross multiply
    211.43x = 310.57 × 310.57
  4. Step 4: Simplify right side
    211.43x = 96,453.92
  5. Step 5: Solve for x
    x = 96,453.92/211.43
  6. Step 6: Final answer
    x = 456.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.