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Finding the Third Proportional to 204,567.75 and 434,994.75

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Solution

The third proportional to 204,567.75 and 434,994.75 is: 924,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,567.75 : 434,994.75 = 434,994.75 : x
  2. Step 2: Convert to fraction form
    204,567.75/434,994.75 = 434,994.75/x
  3. Step 3: Cross multiply
    204,567.75x = 434,994.75 × 434,994.75
  4. Step 4: Simplify right side
    204,567.75x = 189,220,432,527.56
  5. Step 5: Solve for x
    x = 189,220,432,527.56/204,567.75
  6. Step 6: Final answer
    x = 924,976.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.