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Finding the Third Proportional to 291.19 and 608.81

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Solution

The third proportional to 291.19 and 608.81 is: 1,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.19 : 608.81 = 608.81 : x
  2. Step 2: Convert to fraction form
    291.19/608.81 = 608.81/x
  3. Step 3: Cross multiply
    291.19x = 608.81 × 608.81
  4. Step 4: Simplify right side
    291.19x = 370,652.66
  5. Step 5: Solve for x
    x = 370,652.66/291.19
  6. Step 6: Final answer
    x = 1,272.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.