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Finding the Third Proportional to 128,601.84 and 191,040.19

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Solution

The third proportional to 128,601.84 and 191,040.19 is: 283,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,601.84 : 191,040.19 = 191,040.19 : x
  2. Step 2: Convert to fraction form
    128,601.84/191,040.19 = 191,040.19/x
  3. Step 3: Cross multiply
    128,601.84x = 191,040.19 × 191,040.19
  4. Step 4: Simplify right side
    128,601.84x = 36,496,353,240.04
  5. Step 5: Solve for x
    x = 36,496,353,240.04/128,601.84
  6. Step 6: Final answer
    x = 283,793.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.