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Finding the Third Proportional to 217,707 and 336,269

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Solution

The third proportional to 217,707 and 336,269 is: 519,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,707 : 336,269 = 336,269 : x
  2. Step 2: Convert to fraction form
    217,707/336,269 = 336,269/x
  3. Step 3: Cross multiply
    217,707x = 336,269 × 336,269
  4. Step 4: Simplify right side
    217,707x = 113,076,840,361
  5. Step 5: Solve for x
    x = 113,076,840,361/217,707
  6. Step 6: Final answer
    x = 519,399.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.