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Finding the Third Proportional to 378,408.38 and 569,207.25

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Solution

The third proportional to 378,408.38 and 569,207.25 is: 856,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,408.38 : 569,207.25 = 569,207.25 : x
  2. Step 2: Convert to fraction form
    378,408.38/569,207.25 = 569,207.25/x
  3. Step 3: Cross multiply
    378,408.38x = 569,207.25 × 569,207.25
  4. Step 4: Simplify right side
    378,408.38x = 323,996,893,452.56
  5. Step 5: Solve for x
    x = 323,996,893,452.56/378,408.38
  6. Step 6: Final answer
    x = 856,209.63

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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.