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Finding the Third Proportional to 81,330 and 114,381

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Solution

The third proportional to 81,330 and 114,381 is: 160,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,330 : 114,381 = 114,381 : x
  2. Step 2: Convert to fraction form
    81,330/114,381 = 114,381/x
  3. Step 3: Cross multiply
    81,330x = 114,381 × 114,381
  4. Step 4: Simplify right side
    81,330x = 13,083,013,161
  5. Step 5: Solve for x
    x = 13,083,013,161/81,330
  6. Step 6: Final answer
    x = 160,863.31

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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.