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Finding the Third Proportional to 52,380 and 81,171

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Solution

The third proportional to 52,380 and 81,171 is: 125,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,380 : 81,171 = 81,171 : x
  2. Step 2: Convert to fraction form
    52,380/81,171 = 81,171/x
  3. Step 3: Cross multiply
    52,380x = 81,171 × 81,171
  4. Step 4: Simplify right side
    52,380x = 6,588,731,241
  5. Step 5: Solve for x
    x = 6,588,731,241/52,380
  6. Step 6: Final answer
    x = 125,787.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.