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Finding the Third Proportional to 42,663 and 91,867

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Solution

The third proportional to 42,663 and 91,867 is: 197,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,663 : 91,867 = 91,867 : x
  2. Step 2: Convert to fraction form
    42,663/91,867 = 91,867/x
  3. Step 3: Cross multiply
    42,663x = 91,867 × 91,867
  4. Step 4: Simplify right side
    42,663x = 8,439,545,689
  5. Step 5: Solve for x
    x = 8,439,545,689/42,663
  6. Step 6: Final answer
    x = 197,818.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.