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Finding the Third Proportional to 217,652 and 336,303

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Solution

The third proportional to 217,652 and 336,303 is: 519,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,652 : 336,303 = 336,303 : x
  2. Step 2: Convert to fraction form
    217,652/336,303 = 336,303/x
  3. Step 3: Cross multiply
    217,652x = 336,303 × 336,303
  4. Step 4: Simplify right side
    217,652x = 113,099,707,809
  5. Step 5: Solve for x
    x = 113,099,707,809/217,652
  6. Step 6: Final answer
    x = 519,635.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.