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Finding the Third Proportional to 253,058 and 378,885

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Solution

The third proportional to 253,058 and 378,885 is: 567,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,058 : 378,885 = 378,885 : x
  2. Step 2: Convert to fraction form
    253,058/378,885 = 378,885/x
  3. Step 3: Cross multiply
    253,058x = 378,885 × 378,885
  4. Step 4: Simplify right side
    253,058x = 143,553,843,225
  5. Step 5: Solve for x
    x = 143,553,843,225/253,058
  6. Step 6: Final answer
    x = 567,276.45

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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.