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Finding the Third Proportional to 42,195.38 and 90,040.50

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Solution

The third proportional to 42,195.38 and 90,040.50 is: 192,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,195.38 : 90,040.50 = 90,040.50 : x
  2. Step 2: Convert to fraction form
    42,195.38/90,040.50 = 90,040.50/x
  3. Step 3: Cross multiply
    42,195.38x = 90,040.50 × 90,040.50
  4. Step 4: Simplify right side
    42,195.38x = 8,107,291,640.25
  5. Step 5: Solve for x
    x = 8,107,291,640.25/42,195.38
  6. Step 6: Final answer
    x = 192,136.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.