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Finding the Third Proportional to 77,079 and 109,991

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Solution

The third proportional to 77,079 and 109,991 is: 156,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,079 : 109,991 = 109,991 : x
  2. Step 2: Convert to fraction form
    77,079/109,991 = 109,991/x
  3. Step 3: Cross multiply
    77,079x = 109,991 × 109,991
  4. Step 4: Simplify right side
    77,079x = 12,098,020,081
  5. Step 5: Solve for x
    x = 12,098,020,081/77,079
  6. Step 6: Final answer
    x = 156,956.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.