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Finding the Third Proportional to 378,424 and 569,233

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Solution

The third proportional to 378,424 and 569,233 is: 856,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,424 : 569,233 = 569,233 : x
  2. Step 2: Convert to fraction form
    378,424/569,233 = 569,233/x
  3. Step 3: Cross multiply
    378,424x = 569,233 × 569,233
  4. Step 4: Simplify right side
    378,424x = 324,026,208,289
  5. Step 5: Solve for x
    x = 324,026,208,289/378,424
  6. Step 6: Final answer
    x = 856,251.74

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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.