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Finding the Third Proportional to 518.38 and 1,133.75

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Solution

The third proportional to 518.38 and 1,133.75 is: 2,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 1,133.75 = 1,133.75 : x
  2. Step 2: Convert to fraction form
    518.38/1,133.75 = 1,133.75/x
  3. Step 3: Cross multiply
    518.38x = 1,133.75 × 1,133.75
  4. Step 4: Simplify right side
    518.38x = 1,285,389.06
  5. Step 5: Solve for x
    x = 1,285,389.06/518.38
  6. Step 6: Final answer
    x = 2,479.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.