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Finding the Third Proportional to 217,692.56 and 336,238.59

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Solution

The third proportional to 217,692.56 and 336,238.59 is: 519,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,692.56 : 336,238.59 = 336,238.59 : x
  2. Step 2: Convert to fraction form
    217,692.56/336,238.59 = 336,238.59/x
  3. Step 3: Cross multiply
    217,692.56x = 336,238.59 × 336,238.59
  4. Step 4: Simplify right side
    217,692.56x = 113,056,391,926.98
  5. Step 5: Solve for x
    x = 113,056,391,926.98/217,692.56
  6. Step 6: Final answer
    x = 519,339.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.