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Finding the Third Proportional to 218,954 and 329,403

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Solution

The third proportional to 218,954 and 329,403 is: 495,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,954 : 329,403 = 329,403 : x
  2. Step 2: Convert to fraction form
    218,954/329,403 = 329,403/x
  3. Step 3: Cross multiply
    218,954x = 329,403 × 329,403
  4. Step 4: Simplify right side
    218,954x = 108,506,336,409
  5. Step 5: Solve for x
    x = 108,506,336,409/218,954
  6. Step 6: Final answer
    x = 495,566.81

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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.