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Finding the Third Proportional to 239,320 and 518,264

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Solution

The third proportional to 239,320 and 518,264 is: 1,122,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,320 : 518,264 = 518,264 : x
  2. Step 2: Convert to fraction form
    239,320/518,264 = 518,264/x
  3. Step 3: Cross multiply
    239,320x = 518,264 × 518,264
  4. Step 4: Simplify right side
    239,320x = 268,597,573,696
  5. Step 5: Solve for x
    x = 268,597,573,696/239,320
  6. Step 6: Final answer
    x = 1,122,336.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.