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Finding the Third Proportional to 305,826 and 329,154

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Solution

The third proportional to 305,826 and 329,154 is: 354,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,826 : 329,154 = 329,154 : x
  2. Step 2: Convert to fraction form
    305,826/329,154 = 329,154/x
  3. Step 3: Cross multiply
    305,826x = 329,154 × 329,154
  4. Step 4: Simplify right side
    305,826x = 108,342,355,716
  5. Step 5: Solve for x
    x = 108,342,355,716/305,826
  6. Step 6: Final answer
    x = 354,261.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.