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Finding the Third Proportional to 949.13 and 1,947.75

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Solution

The third proportional to 949.13 and 1,947.75 is: 3,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.13 : 1,947.75 = 1,947.75 : x
  2. Step 2: Convert to fraction form
    949.13/1,947.75 = 1,947.75/x
  3. Step 3: Cross multiply
    949.13x = 1,947.75 × 1,947.75
  4. Step 4: Simplify right side
    949.13x = 3,793,730.06
  5. Step 5: Solve for x
    x = 3,793,730.06/949.13
  6. Step 6: Final answer
    x = 3,997.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.