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Finding the Third Proportional to 237,187 and 520,519

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Solution

The third proportional to 237,187 and 520,519 is: 1,142,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,187 : 520,519 = 520,519 : x
  2. Step 2: Convert to fraction form
    237,187/520,519 = 520,519/x
  3. Step 3: Cross multiply
    237,187x = 520,519 × 520,519
  4. Step 4: Simplify right side
    237,187x = 270,940,029,361
  5. Step 5: Solve for x
    x = 270,940,029,361/237,187
  6. Step 6: Final answer
    x = 1,142,305.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.