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Finding the Third Proportional to 42,432 and 91,846

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Solution

The third proportional to 42,432 and 91,846 is: 198,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,432 : 91,846 = 91,846 : x
  2. Step 2: Convert to fraction form
    42,432/91,846 = 91,846/x
  3. Step 3: Cross multiply
    42,432x = 91,846 × 91,846
  4. Step 4: Simplify right side
    42,432x = 8,435,687,716
  5. Step 5: Solve for x
    x = 8,435,687,716/42,432
  6. Step 6: Final answer
    x = 198,804.86

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