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Finding the Third Proportional to 51,079 and 81,172

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Solution

The third proportional to 51,079 and 81,172 is: 128,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,079 : 81,172 = 81,172 : x
  2. Step 2: Convert to fraction form
    51,079/81,172 = 81,172/x
  3. Step 3: Cross multiply
    51,079x = 81,172 × 81,172
  4. Step 4: Simplify right side
    51,079x = 6,588,893,584
  5. Step 5: Solve for x
    x = 6,588,893,584/51,079
  6. Step 6: Final answer
    x = 128,994.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.