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Finding the Third Proportional to 236,466 and 518,920

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Solution

The third proportional to 236,466 and 518,920 is: 1,138,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,466 : 518,920 = 518,920 : x
  2. Step 2: Convert to fraction form
    236,466/518,920 = 518,920/x
  3. Step 3: Cross multiply
    236,466x = 518,920 × 518,920
  4. Step 4: Simplify right side
    236,466x = 269,277,966,400
  5. Step 5: Solve for x
    x = 269,277,966,400/236,466
  6. Step 6: Final answer
    x = 1,138,759.76

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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.