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Finding the Third Proportional to 245,662 and 520,849

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Solution

The third proportional to 245,662 and 520,849 is: 1,104,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,662 : 520,849 = 520,849 : x
  2. Step 2: Convert to fraction form
    245,662/520,849 = 520,849/x
  3. Step 3: Cross multiply
    245,662x = 520,849 × 520,849
  4. Step 4: Simplify right side
    245,662x = 271,283,680,801
  5. Step 5: Solve for x
    x = 271,283,680,801/245,662
  6. Step 6: Final answer
    x = 1,104,296.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.