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Finding the Third Proportional to 305,365.78 and 603,067.78

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Solution

The third proportional to 305,365.78 and 603,067.78 is: 1,191,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,365.78 : 603,067.78 = 603,067.78 : x
  2. Step 2: Convert to fraction form
    305,365.78/603,067.78 = 603,067.78/x
  3. Step 3: Cross multiply
    305,365.78x = 603,067.78 × 603,067.78
  4. Step 4: Simplify right side
    305,365.78x = 363,690,748,781.80
  5. Step 5: Solve for x
    x = 363,690,748,781.80/305,365.78
  6. Step 6: Final answer
    x = 1,191,000.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.