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Finding the Third Proportional to 1,934.98 and 2,906.75

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Solution

The third proportional to 1,934.98 and 2,906.75 is: 4,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.98 : 2,906.75 = 2,906.75 : x
  2. Step 2: Convert to fraction form
    1,934.98/2,906.75 = 2,906.75/x
  3. Step 3: Cross multiply
    1,934.98x = 2,906.75 × 2,906.75
  4. Step 4: Simplify right side
    1,934.98x = 8,449,167.18
  5. Step 5: Solve for x
    x = 8,449,167.18/1,934.98
  6. Step 6: Final answer
    x = 4,366.53

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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.