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Finding the Third Proportional to 217,803 and 329,991

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Solution

The third proportional to 217,803 and 329,991 is: 499,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,803 : 329,991 = 329,991 : x
  2. Step 2: Convert to fraction form
    217,803/329,991 = 329,991/x
  3. Step 3: Cross multiply
    217,803x = 329,991 × 329,991
  4. Step 4: Simplify right side
    217,803x = 108,894,060,081
  5. Step 5: Solve for x
    x = 108,894,060,081/217,803
  6. Step 6: Final answer
    x = 499,965.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.