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Finding the Third Proportional to 77,460 and 109,079

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Solution

The third proportional to 77,460 and 109,079 is: 153,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,460 : 109,079 = 109,079 : x
  2. Step 2: Convert to fraction form
    77,460/109,079 = 109,079/x
  3. Step 3: Cross multiply
    77,460x = 109,079 × 109,079
  4. Step 4: Simplify right side
    77,460x = 11,898,228,241
  5. Step 5: Solve for x
    x = 11,898,228,241/77,460
  6. Step 6: Final answer
    x = 153,604.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.