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Finding the Third Proportional to 378,411.75 and 569,211.75

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Solution

The third proportional to 378,411.75 and 569,211.75 is: 856,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,411.75 : 569,211.75 = 569,211.75 : x
  2. Step 2: Convert to fraction form
    378,411.75/569,211.75 = 569,211.75/x
  3. Step 3: Cross multiply
    378,411.75x = 569,211.75 × 569,211.75
  4. Step 4: Simplify right side
    378,411.75x = 324,002,016,338.06
  5. Step 5: Solve for x
    x = 324,002,016,338.06/378,411.75
  6. Step 6: Final answer
    x = 856,215.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.