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Finding the Third Proportional to 217,702 and 336,262

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Solution

The third proportional to 217,702 and 336,262 is: 519,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,702 : 336,262 = 336,262 : x
  2. Step 2: Convert to fraction form
    217,702/336,262 = 336,262/x
  3. Step 3: Cross multiply
    217,702x = 336,262 × 336,262
  4. Step 4: Simplify right side
    217,702x = 113,072,132,644
  5. Step 5: Solve for x
    x = 113,072,132,644/217,702
  6. Step 6: Final answer
    x = 519,389.50

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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.