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Finding the Third Proportional to 128,780.25 and 196,998.19

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Solution

The third proportional to 128,780.25 and 196,998.19 is: 301,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,780.25 : 196,998.19 = 196,998.19 : x
  2. Step 2: Convert to fraction form
    128,780.25/196,998.19 = 196,998.19/x
  3. Step 3: Cross multiply
    128,780.25x = 196,998.19 × 196,998.19
  4. Step 4: Simplify right side
    128,780.25x = 38,808,285,878.29
  5. Step 5: Solve for x
    x = 38,808,285,878.29/128,780.25
  6. Step 6: Final answer
    x = 301,352.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.