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Finding the Third Proportional to 42,708 and 91,731

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Solution

The third proportional to 42,708 and 91,731 is: 197,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,708 : 91,731 = 91,731 : x
  2. Step 2: Convert to fraction form
    42,708/91,731 = 91,731/x
  3. Step 3: Cross multiply
    42,708x = 91,731 × 91,731
  4. Step 4: Simplify right side
    42,708x = 8,414,576,361
  5. Step 5: Solve for x
    x = 8,414,576,361/42,708
  6. Step 6: Final answer
    x = 197,025.76

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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.