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Finding the Third Proportional to 281.12 and 421.68

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Solution

The third proportional to 281.12 and 421.68 is: 632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 421.68 = 421.68 : x
  2. Step 2: Convert to fraction form
    281.12/421.68 = 421.68/x
  3. Step 3: Cross multiply
    281.12x = 421.68 × 421.68
  4. Step 4: Simplify right side
    281.12x = 177,810.31
  5. Step 5: Solve for x
    x = 177,810.31/281.12
  6. Step 6: Final answer
    x = 632.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.