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Finding the Third Proportional to 152,849 and 203,853

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Solution

The third proportional to 152,849 and 203,853 is: 271,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,849 : 203,853 = 203,853 : x
  2. Step 2: Convert to fraction form
    152,849/203,853 = 203,853/x
  3. Step 3: Cross multiply
    152,849x = 203,853 × 203,853
  4. Step 4: Simplify right side
    152,849x = 41,556,045,609
  5. Step 5: Solve for x
    x = 41,556,045,609/152,849
  6. Step 6: Final answer
    x = 271,876.46

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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.