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Finding the Third Proportional to 236,758 and 520,172

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Solution

The third proportional to 236,758 and 520,172 is: 1,142,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,758 : 520,172 = 520,172 : x
  2. Step 2: Convert to fraction form
    236,758/520,172 = 520,172/x
  3. Step 3: Cross multiply
    236,758x = 520,172 × 520,172
  4. Step 4: Simplify right side
    236,758x = 270,578,909,584
  5. Step 5: Solve for x
    x = 270,578,909,584/236,758
  6. Step 6: Final answer
    x = 1,142,850.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.