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Finding the Third Proportional to 236,432 and 518,800

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Solution

The third proportional to 236,432 and 518,800 is: 1,138,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,432 : 518,800 = 518,800 : x
  2. Step 2: Convert to fraction form
    236,432/518,800 = 518,800/x
  3. Step 3: Cross multiply
    236,432x = 518,800 × 518,800
  4. Step 4: Simplify right side
    236,432x = 269,153,440,000
  5. Step 5: Solve for x
    x = 269,153,440,000/236,432
  6. Step 6: Final answer
    x = 1,138,396.83

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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.