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Finding the Third Proportional to 203,877 and 310,311

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Solution

The third proportional to 203,877 and 310,311 is: 472,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,877 : 310,311 = 310,311 : x
  2. Step 2: Convert to fraction form
    203,877/310,311 = 310,311/x
  3. Step 3: Cross multiply
    203,877x = 310,311 × 310,311
  4. Step 4: Simplify right side
    203,877x = 96,292,916,721
  5. Step 5: Solve for x
    x = 96,292,916,721/203,877
  6. Step 6: Final answer
    x = 472,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.