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Finding the Third Proportional to 283.31 and 672.28

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Solution

The third proportional to 283.31 and 672.28 is: 1,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.31 : 672.28 = 672.28 : x
  2. Step 2: Convert to fraction form
    283.31/672.28 = 672.28/x
  3. Step 3: Cross multiply
    283.31x = 672.28 × 672.28
  4. Step 4: Simplify right side
    283.31x = 451,962.08
  5. Step 5: Solve for x
    x = 451,962.08/283.31
  6. Step 6: Final answer
    x = 1,595.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.