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Finding the Third Proportional to 126,592.88 and 190,299.38

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Solution

The third proportional to 126,592.88 and 190,299.38 is: 286,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,592.88 : 190,299.38 = 190,299.38 : x
  2. Step 2: Convert to fraction form
    126,592.88/190,299.38 = 190,299.38/x
  3. Step 3: Cross multiply
    126,592.88x = 190,299.38 × 190,299.38
  4. Step 4: Simplify right side
    126,592.88x = 36,213,852,125.39
  5. Step 5: Solve for x
    x = 36,213,852,125.39/126,592.88
  6. Step 6: Final answer
    x = 286,065.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.