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Finding the Third Proportional to 42,240 and 91,176

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Solution

The third proportional to 42,240 and 91,176 is: 196,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,240 : 91,176 = 91,176 : x
  2. Step 2: Convert to fraction form
    42,240/91,176 = 91,176/x
  3. Step 3: Cross multiply
    42,240x = 91,176 × 91,176
  4. Step 4: Simplify right side
    42,240x = 8,313,062,976
  5. Step 5: Solve for x
    x = 8,313,062,976/42,240
  6. Step 6: Final answer
    x = 196,805.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.