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Finding the Third Proportional to 287.44 and 619.59

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Solution

The third proportional to 287.44 and 619.59 is: 1,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 619.59 = 619.59 : x
  2. Step 2: Convert to fraction form
    287.44/619.59 = 619.59/x
  3. Step 3: Cross multiply
    287.44x = 619.59 × 619.59
  4. Step 4: Simplify right side
    287.44x = 383,896.42
  5. Step 5: Solve for x
    x = 383,896.42/287.44
  6. Step 6: Final answer
    x = 1,335.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.