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Finding the Third Proportional to 217,155.94 and 313,274.25

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Solution

The third proportional to 217,155.94 and 313,274.25 is: 451,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,155.94 : 313,274.25 = 313,274.25 : x
  2. Step 2: Convert to fraction form
    217,155.94/313,274.25 = 313,274.25/x
  3. Step 3: Cross multiply
    217,155.94x = 313,274.25 × 313,274.25
  4. Step 4: Simplify right side
    217,155.94x = 98,140,755,713.06
  5. Step 5: Solve for x
    x = 98,140,755,713.06/217,155.94
  6. Step 6: Final answer
    x = 451,936.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.