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Finding the Third Proportional to 192,403.69 and 289,759.78

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Solution

The third proportional to 192,403.69 and 289,759.78 is: 436,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,403.69 : 289,759.78 = 289,759.78 : x
  2. Step 2: Convert to fraction form
    192,403.69/289,759.78 = 289,759.78/x
  3. Step 3: Cross multiply
    192,403.69x = 289,759.78 × 289,759.78
  4. Step 4: Simplify right side
    192,403.69x = 83,960,730,830.05
  5. Step 5: Solve for x
    x = 83,960,730,830.05/192,403.69
  6. Step 6: Final answer
    x = 436,377.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.