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Finding the Third Proportional to 217,646 and 332,723

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Solution

The third proportional to 217,646 and 332,723 is: 508,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,646 : 332,723 = 332,723 : x
  2. Step 2: Convert to fraction form
    217,646/332,723 = 332,723/x
  3. Step 3: Cross multiply
    217,646x = 332,723 × 332,723
  4. Step 4: Simplify right side
    217,646x = 110,704,594,729
  5. Step 5: Solve for x
    x = 110,704,594,729/217,646
  6. Step 6: Final answer
    x = 508,645.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.