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Finding the Third Proportional to 282.87 and 655.44

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Solution

The third proportional to 282.87 and 655.44 is: 1,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 655.44 = 655.44 : x
  2. Step 2: Convert to fraction form
    282.87/655.44 = 655.44/x
  3. Step 3: Cross multiply
    282.87x = 655.44 × 655.44
  4. Step 4: Simplify right side
    282.87x = 429,595.76
  5. Step 5: Solve for x
    x = 429,595.76/282.87
  6. Step 6: Final answer
    x = 1,518.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.