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Finding the Third Proportional to 217,733 and 342,152

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Solution

The third proportional to 217,733 and 342,152 is: 537,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,733 : 342,152 = 342,152 : x
  2. Step 2: Convert to fraction form
    217,733/342,152 = 342,152/x
  3. Step 3: Cross multiply
    217,733x = 342,152 × 342,152
  4. Step 4: Simplify right side
    217,733x = 117,067,991,104
  5. Step 5: Solve for x
    x = 117,067,991,104/217,733
  6. Step 6: Final answer
    x = 537,667.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.