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Finding the Third Proportional to 283.38 and 577.44

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Solution

The third proportional to 283.38 and 577.44 is: 1,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.38 : 577.44 = 577.44 : x
  2. Step 2: Convert to fraction form
    283.38/577.44 = 577.44/x
  3. Step 3: Cross multiply
    283.38x = 577.44 × 577.44
  4. Step 4: Simplify right side
    283.38x = 333,434.07
  5. Step 5: Solve for x
    x = 333,434.07/283.38
  6. Step 6: Final answer
    x = 1,176.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.