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Finding the Third Proportional to 218,979 and 329,445

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Solution

The third proportional to 218,979 and 329,445 is: 495,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,979 : 329,445 = 329,445 : x
  2. Step 2: Convert to fraction form
    218,979/329,445 = 329,445/x
  3. Step 3: Cross multiply
    218,979x = 329,445 × 329,445
  4. Step 4: Simplify right side
    218,979x = 108,534,008,025
  5. Step 5: Solve for x
    x = 108,534,008,025/218,979
  6. Step 6: Final answer
    x = 495,636.60

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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.