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Finding the Third Proportional to 236,780 and 520,216

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Solution

The third proportional to 236,780 and 520,216 is: 1,142,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,780 : 520,216 = 520,216 : x
  2. Step 2: Convert to fraction form
    236,780/520,216 = 520,216/x
  3. Step 3: Cross multiply
    236,780x = 520,216 × 520,216
  4. Step 4: Simplify right side
    236,780x = 270,624,686,656
  5. Step 5: Solve for x
    x = 270,624,686,656/236,780
  6. Step 6: Final answer
    x = 1,142,937.27

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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.