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Finding the Third Proportional to 20,866 and 31,814

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Solution

The third proportional to 20,866 and 31,814 is: 48,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866 : 31,814 = 31,814 : x
  2. Step 2: Convert to fraction form
    20,866/31,814 = 31,814/x
  3. Step 3: Cross multiply
    20,866x = 31,814 × 31,814
  4. Step 4: Simplify right side
    20,866x = 1,012,130,596
  5. Step 5: Solve for x
    x = 1,012,130,596/20,866
  6. Step 6: Final answer
    x = 48,506.21

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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.