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Finding the Third Proportional to 125,005.78 and 203,091.05

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Solution

The third proportional to 125,005.78 and 203,091.05 is: 329,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,005.78 : 203,091.05 = 203,091.05 : x
  2. Step 2: Convert to fraction form
    125,005.78/203,091.05 = 203,091.05/x
  3. Step 3: Cross multiply
    125,005.78x = 203,091.05 × 203,091.05
  4. Step 4: Simplify right side
    125,005.78x = 41,245,973,320.78
  5. Step 5: Solve for x
    x = 41,245,973,320.78/125,005.78
  6. Step 6: Final answer
    x = 329,952.53

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.