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Finding the Third Proportional to 20,742 and 31,497

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Solution

The third proportional to 20,742 and 31,497 is: 47,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 31,497 = 31,497 : x
  2. Step 2: Convert to fraction form
    20,742/31,497 = 31,497/x
  3. Step 3: Cross multiply
    20,742x = 31,497 × 31,497
  4. Step 4: Simplify right side
    20,742x = 992,061,009
  5. Step 5: Solve for x
    x = 992,061,009/20,742
  6. Step 6: Final answer
    x = 47,828.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.