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Finding the Third Proportional to 378,414 and 569,217

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Solution

The third proportional to 378,414 and 569,217 is: 856,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414 : 569,217 = 569,217 : x
  2. Step 2: Convert to fraction form
    378,414/569,217 = 569,217/x
  3. Step 3: Cross multiply
    378,414x = 569,217 × 569,217
  4. Step 4: Simplify right side
    378,414x = 324,007,993,089
  5. Step 5: Solve for x
    x = 324,007,993,089/378,414
  6. Step 6: Final answer
    x = 856,226.23

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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.