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Finding the Third Proportional to 42,702 and 91,722

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Solution

The third proportional to 42,702 and 91,722 is: 197,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702 : 91,722 = 91,722 : x
  2. Step 2: Convert to fraction form
    42,702/91,722 = 91,722/x
  3. Step 3: Cross multiply
    42,702x = 91,722 × 91,722
  4. Step 4: Simplify right side
    42,702x = 8,412,925,284
  5. Step 5: Solve for x
    x = 8,412,925,284/42,702
  6. Step 6: Final answer
    x = 197,014.78

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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.