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Finding the Third Proportional to 20,797 and 31,370

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Solution

The third proportional to 20,797 and 31,370 is: 47,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797 : 31,370 = 31,370 : x
  2. Step 2: Convert to fraction form
    20,797/31,370 = 31,370/x
  3. Step 3: Cross multiply
    20,797x = 31,370 × 31,370
  4. Step 4: Simplify right side
    20,797x = 984,076,900
  5. Step 5: Solve for x
    x = 984,076,900/20,797
  6. Step 6: Final answer
    x = 47,318.21

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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.