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Finding the Third Proportional to 342,067.50 and 529,710.75

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Solution

The third proportional to 342,067.50 and 529,710.75 is: 820,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,067.50 : 529,710.75 = 529,710.75 : x
  2. Step 2: Convert to fraction form
    342,067.50/529,710.75 = 529,710.75/x
  3. Step 3: Cross multiply
    342,067.50x = 529,710.75 × 529,710.75
  4. Step 4: Simplify right side
    342,067.50x = 280,593,478,665.56
  5. Step 5: Solve for x
    x = 280,593,478,665.56/342,067.50
  6. Step 6: Final answer
    x = 820,286.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.