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Finding the Third Proportional to 287.97 and 606.91

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Solution

The third proportional to 287.97 and 606.91 is: 1,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.97 : 606.91 = 606.91 : x
  2. Step 2: Convert to fraction form
    287.97/606.91 = 606.91/x
  3. Step 3: Cross multiply
    287.97x = 606.91 × 606.91
  4. Step 4: Simplify right side
    287.97x = 368,335.79
  5. Step 5: Solve for x
    x = 368,335.79/287.97
  6. Step 6: Final answer
    x = 1,279.08

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.