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Finding the Third Proportional to 81,713 and 114,573

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Solution

The third proportional to 81,713 and 114,573 is: 160,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713 : 114,573 = 114,573 : x
  2. Step 2: Convert to fraction form
    81,713/114,573 = 114,573/x
  3. Step 3: Cross multiply
    81,713x = 114,573 × 114,573
  4. Step 4: Simplify right side
    81,713x = 13,126,972,329
  5. Step 5: Solve for x
    x = 13,126,972,329/81,713
  6. Step 6: Final answer
    x = 160,647.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.