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Finding the Third Proportional to 13,866 and 32,964

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Solution

The third proportional to 13,866 and 32,964 is: 78,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866 : 32,964 = 32,964 : x
  2. Step 2: Convert to fraction form
    13,866/32,964 = 32,964/x
  3. Step 3: Cross multiply
    13,866x = 32,964 × 32,964
  4. Step 4: Simplify right side
    13,866x = 1,086,625,296
  5. Step 5: Solve for x
    x = 1,086,625,296/13,866
  6. Step 6: Final answer
    x = 78,366.17

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.