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Finding the Third Proportional to 202,859 and 432,857

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Solution

The third proportional to 202,859 and 432,857 is: 923,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,859 : 432,857 = 432,857 : x
  2. Step 2: Convert to fraction form
    202,859/432,857 = 432,857/x
  3. Step 3: Cross multiply
    202,859x = 432,857 × 432,857
  4. Step 4: Simplify right side
    202,859x = 187,365,182,449
  5. Step 5: Solve for x
    x = 187,365,182,449/202,859
  6. Step 6: Final answer
    x = 923,622.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.