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Finding the Third Proportional to 20,364 and 31,531

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Solution

The third proportional to 20,364 and 31,531 is: 48,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364 : 31,531 = 31,531 : x
  2. Step 2: Convert to fraction form
    20,364/31,531 = 31,531/x
  3. Step 3: Cross multiply
    20,364x = 31,531 × 31,531
  4. Step 4: Simplify right side
    20,364x = 994,203,961
  5. Step 5: Solve for x
    x = 994,203,961/20,364
  6. Step 6: Final answer
    x = 48,821.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.