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Finding the Third Proportional to 378,712 and 569,049

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Solution

The third proportional to 378,712 and 569,049 is: 855,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,712 : 569,049 = 569,049 : x
  2. Step 2: Convert to fraction form
    378,712/569,049 = 569,049/x
  3. Step 3: Cross multiply
    378,712x = 569,049 × 569,049
  4. Step 4: Simplify right side
    378,712x = 323,816,764,401
  5. Step 5: Solve for x
    x = 323,816,764,401/378,712
  6. Step 6: Final answer
    x = 855,047.54

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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.