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Finding the Third Proportional to 206,842 and 331,859

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Solution

The third proportional to 206,842 and 331,859 is: 532,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842 : 331,859 = 331,859 : x
  2. Step 2: Convert to fraction form
    206,842/331,859 = 331,859/x
  3. Step 3: Cross multiply
    206,842x = 331,859 × 331,859
  4. Step 4: Simplify right side
    206,842x = 110,130,395,881
  5. Step 5: Solve for x
    x = 110,130,395,881/206,842
  6. Step 6: Final answer
    x = 532,437.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.