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Finding the Third Proportional to 282.29 and 407.74

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Solution

The third proportional to 282.29 and 407.74 is: 588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 407.74 = 407.74 : x
  2. Step 2: Convert to fraction form
    282.29/407.74 = 407.74/x
  3. Step 3: Cross multiply
    282.29x = 407.74 × 407.74
  4. Step 4: Simplify right side
    282.29x = 166,253.69
  5. Step 5: Solve for x
    x = 166,253.69/282.29
  6. Step 6: Final answer
    x = 588.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.