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Finding the Third Proportional to 152,853 and 203,859

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Solution

The third proportional to 152,853 and 203,859 is: 271,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,853 : 203,859 = 203,859 : x
  2. Step 2: Convert to fraction form
    152,853/203,859 = 203,859/x
  3. Step 3: Cross multiply
    152,853x = 203,859 × 203,859
  4. Step 4: Simplify right side
    152,853x = 41,558,491,881
  5. Step 5: Solve for x
    x = 41,558,491,881/152,853
  6. Step 6: Final answer
    x = 271,885.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.