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Finding the Third Proportional to 21,310 and 31,965

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Solution

The third proportional to 21,310 and 31,965 is: 47,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,310 : 31,965 = 31,965 : x
  2. Step 2: Convert to fraction form
    21,310/31,965 = 31,965/x
  3. Step 3: Cross multiply
    21,310x = 31,965 × 31,965
  4. Step 4: Simplify right side
    21,310x = 1,021,761,225
  5. Step 5: Solve for x
    x = 1,021,761,225/21,310
  6. Step 6: Final answer
    x = 47,947.50

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.