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Finding the Third Proportional to 236,492 and 518,972

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Solution

The third proportional to 236,492 and 518,972 is: 1,138,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,492 : 518,972 = 518,972 : x
  2. Step 2: Convert to fraction form
    236,492/518,972 = 518,972/x
  3. Step 3: Cross multiply
    236,492x = 518,972 × 518,972
  4. Step 4: Simplify right side
    236,492x = 269,331,936,784
  5. Step 5: Solve for x
    x = 269,331,936,784/236,492
  6. Step 6: Final answer
    x = 1,138,862.78

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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.