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Finding the Third Proportional to 42,453.75 and 95,856.38

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Solution

The third proportional to 42,453.75 and 95,856.38 is: 216,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,453.75 : 95,856.38 = 95,856.38 : x
  2. Step 2: Convert to fraction form
    42,453.75/95,856.38 = 95,856.38/x
  3. Step 3: Cross multiply
    42,453.75x = 95,856.38 × 95,856.38
  4. Step 4: Simplify right side
    42,453.75x = 9,188,444,628.14
  5. Step 5: Solve for x
    x = 9,188,444,628.14/42,453.75
  6. Step 6: Final answer
    x = 216,434.23

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.