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Finding the Third Proportional to 236,335 and 518,605

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Solution

The third proportional to 236,335 and 518,605 is: 1,138,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,335 : 518,605 = 518,605 : x
  2. Step 2: Convert to fraction form
    236,335/518,605 = 518,605/x
  3. Step 3: Cross multiply
    236,335x = 518,605 × 518,605
  4. Step 4: Simplify right side
    236,335x = 268,951,146,025
  5. Step 5: Solve for x
    x = 268,951,146,025/236,335
  6. Step 6: Final answer
    x = 1,138,008.11

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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.