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Finding the Third Proportional to 299.81 and 559.13

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Solution

The third proportional to 299.81 and 559.13 is: 1,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.81 : 559.13 = 559.13 : x
  2. Step 2: Convert to fraction form
    299.81/559.13 = 559.13/x
  3. Step 3: Cross multiply
    299.81x = 559.13 × 559.13
  4. Step 4: Simplify right side
    299.81x = 312,620.77
  5. Step 5: Solve for x
    x = 312,620.77/299.81
  6. Step 6: Final answer
    x = 1,042.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.