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Finding the Third Proportional to 1,279.23 and 1,913.94

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Solution

The third proportional to 1,279.23 and 1,913.94 is: 2,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.23 : 1,913.94 = 1,913.94 : x
  2. Step 2: Convert to fraction form
    1,279.23/1,913.94 = 1,913.94/x
  3. Step 3: Cross multiply
    1,279.23x = 1,913.94 × 1,913.94
  4. Step 4: Simplify right side
    1,279.23x = 3,663,171.71
  5. Step 5: Solve for x
    x = 3,663,171.71/1,279.23
  6. Step 6: Final answer
    x = 2,863.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.