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Finding the Third Proportional to 378,433 and 569,229

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Solution

The third proportional to 378,433 and 569,229 is: 856,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,433 : 569,229 = 569,229 : x
  2. Step 2: Convert to fraction form
    378,433/569,229 = 569,229/x
  3. Step 3: Cross multiply
    378,433x = 569,229 × 569,229
  4. Step 4: Simplify right side
    378,433x = 324,021,654,441
  5. Step 5: Solve for x
    x = 324,021,654,441/378,433
  6. Step 6: Final answer
    x = 856,219.34

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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.