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Finding the Third Proportional to 217,756 and 342,189

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Solution

The third proportional to 217,756 and 342,189 is: 537,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,756 : 342,189 = 342,189 : x
  2. Step 2: Convert to fraction form
    217,756/342,189 = 342,189/x
  3. Step 3: Cross multiply
    217,756x = 342,189 × 342,189
  4. Step 4: Simplify right side
    217,756x = 117,093,311,721
  5. Step 5: Solve for x
    x = 117,093,311,721/217,756
  6. Step 6: Final answer
    x = 537,727.14

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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.