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Finding the Third Proportional to 211.26 and 453.74

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Solution

The third proportional to 211.26 and 453.74 is: 974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.26 : 453.74 = 453.74 : x
  2. Step 2: Convert to fraction form
    211.26/453.74 = 453.74/x
  3. Step 3: Cross multiply
    211.26x = 453.74 × 453.74
  4. Step 4: Simplify right side
    211.26x = 205,875.77
  5. Step 5: Solve for x
    x = 205,875.77/211.26
  6. Step 6: Final answer
    x = 974.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.