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Finding the Third Proportional to 155,930 and 203,908

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Solution

The third proportional to 155,930 and 203,908 is: 266,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,930 : 203,908 = 203,908 : x
  2. Step 2: Convert to fraction form
    155,930/203,908 = 203,908/x
  3. Step 3: Cross multiply
    155,930x = 203,908 × 203,908
  4. Step 4: Simplify right side
    155,930x = 41,578,472,464
  5. Step 5: Solve for x
    x = 41,578,472,464/155,930
  6. Step 6: Final answer
    x = 266,648.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.