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Finding the Third Proportional to 218,955 and 329,405

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Solution

The third proportional to 218,955 and 329,405 is: 495,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,955 : 329,405 = 329,405 : x
  2. Step 2: Convert to fraction form
    218,955/329,405 = 329,405/x
  3. Step 3: Cross multiply
    218,955x = 329,405 × 329,405
  4. Step 4: Simplify right side
    218,955x = 108,507,654,025
  5. Step 5: Solve for x
    x = 108,507,654,025/218,955
  6. Step 6: Final answer
    x = 495,570.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.