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Finding the Third Proportional to 239,655 and 521,589

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Solution

The third proportional to 239,655 and 521,589 is: 1,135,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,655 : 521,589 = 521,589 : x
  2. Step 2: Convert to fraction form
    239,655/521,589 = 521,589/x
  3. Step 3: Cross multiply
    239,655x = 521,589 × 521,589
  4. Step 4: Simplify right side
    239,655x = 272,055,084,921
  5. Step 5: Solve for x
    x = 272,055,084,921/239,655
  6. Step 6: Final answer
    x = 1,135,194.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.