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Finding the Third Proportional to 217,143 and 329,405

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Solution

The third proportional to 217,143 and 329,405 is: 499,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,143 : 329,405 = 329,405 : x
  2. Step 2: Convert to fraction form
    217,143/329,405 = 329,405/x
  3. Step 3: Cross multiply
    217,143x = 329,405 × 329,405
  4. Step 4: Simplify right side
    217,143x = 108,507,654,025
  5. Step 5: Solve for x
    x = 108,507,654,025/217,143
  6. Step 6: Final answer
    x = 499,705.97

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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.