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Finding the Third Proportional to 217,712.25 and 336,399.75

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Solution

The third proportional to 217,712.25 and 336,399.75 is: 519,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,712.25 : 336,399.75 = 336,399.75 : x
  2. Step 2: Convert to fraction form
    217,712.25/336,399.75 = 336,399.75/x
  3. Step 3: Cross multiply
    217,712.25x = 336,399.75 × 336,399.75
  4. Step 4: Simplify right side
    217,712.25x = 113,164,791,800.06
  5. Step 5: Solve for x
    x = 113,164,791,800.06/217,712.25
  6. Step 6: Final answer
    x = 519,790.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.