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Finding the Third Proportional to 128,930 and 195,987

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Solution

The third proportional to 128,930 and 195,987 is: 297,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,930 : 195,987 = 195,987 : x
  2. Step 2: Convert to fraction form
    128,930/195,987 = 195,987/x
  3. Step 3: Cross multiply
    128,930x = 195,987 × 195,987
  4. Step 4: Simplify right side
    128,930x = 38,410,904,169
  5. Step 5: Solve for x
    x = 38,410,904,169/128,930
  6. Step 6: Final answer
    x = 297,920.61

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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.