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Finding the Third Proportional to 203,856.75 and 434,878.88

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Solution

The third proportional to 203,856.75 and 434,878.88 is: 927,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.75 : 434,878.88 = 434,878.88 : x
  2. Step 2: Convert to fraction form
    203,856.75/434,878.88 = 434,878.88/x
  3. Step 3: Cross multiply
    203,856.75x = 434,878.88 × 434,878.88
  4. Step 4: Simplify right side
    203,856.75x = 189,119,635,921.27
  5. Step 5: Solve for x
    x = 189,119,635,921.27/203,856.75
  6. Step 6: Final answer
    x = 927,708.48

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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.