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Finding the Third Proportional to 378,444 and 569,247

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Solution

The third proportional to 378,444 and 569,247 is: 856,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,444 : 569,247 = 569,247 : x
  2. Step 2: Convert to fraction form
    378,444/569,247 = 569,247/x
  3. Step 3: Cross multiply
    378,444x = 569,247 × 569,247
  4. Step 4: Simplify right side
    378,444x = 324,042,147,009
  5. Step 5: Solve for x
    x = 324,042,147,009/378,444
  6. Step 6: Final answer
    x = 856,248.60

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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.