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Finding the Third Proportional to 77,906 and 122,079

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Solution

The third proportional to 77,906 and 122,079 is: 191,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906 : 122,079 = 122,079 : x
  2. Step 2: Convert to fraction form
    77,906/122,079 = 122,079/x
  3. Step 3: Cross multiply
    77,906x = 122,079 × 122,079
  4. Step 4: Simplify right side
    77,906x = 14,903,282,241
  5. Step 5: Solve for x
    x = 14,903,282,241/77,906
  6. Step 6: Final answer
    x = 191,298.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.