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Finding the Third Proportional to 20,964 and 31,716

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Solution

The third proportional to 20,964 and 31,716 is: 47,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964 : 31,716 = 31,716 : x
  2. Step 2: Convert to fraction form
    20,964/31,716 = 31,716/x
  3. Step 3: Cross multiply
    20,964x = 31,716 × 31,716
  4. Step 4: Simplify right side
    20,964x = 1,005,904,656
  5. Step 5: Solve for x
    x = 1,005,904,656/20,964
  6. Step 6: Final answer
    x = 47,982.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.