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Finding the Third Proportional to 136,809 and 217,201.50

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Solution

The third proportional to 136,809 and 217,201.50 is: 344,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,809 : 217,201.50 = 217,201.50 : x
  2. Step 2: Convert to fraction form
    136,809/217,201.50 = 217,201.50/x
  3. Step 3: Cross multiply
    136,809x = 217,201.50 × 217,201.50
  4. Step 4: Simplify right side
    136,809x = 47,176,491,602.25
  5. Step 5: Solve for x
    x = 47,176,491,602.25/136,809
  6. Step 6: Final answer
    x = 344,834.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.