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Finding the Third Proportional to 282.09 and 615.66

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Solution

The third proportional to 282.09 and 615.66 is: 1,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 615.66 = 615.66 : x
  2. Step 2: Convert to fraction form
    282.09/615.66 = 615.66/x
  3. Step 3: Cross multiply
    282.09x = 615.66 × 615.66
  4. Step 4: Simplify right side
    282.09x = 379,032.62
  5. Step 5: Solve for x
    x = 379,032.62/282.09
  6. Step 6: Final answer
    x = 1,343.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.