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Finding the Third Proportional to 236,355 and 518,634

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Solution

The third proportional to 236,355 and 518,634 is: 1,138,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,355 : 518,634 = 518,634 : x
  2. Step 2: Convert to fraction form
    236,355/518,634 = 518,634/x
  3. Step 3: Cross multiply
    236,355x = 518,634 × 518,634
  4. Step 4: Simplify right side
    236,355x = 268,981,225,956
  5. Step 5: Solve for x
    x = 268,981,225,956/236,355
  6. Step 6: Final answer
    x = 1,138,039.08

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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.