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Finding the Third Proportional to 21,014 and 31,771

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Solution

The third proportional to 21,014 and 31,771 is: 48,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014 : 31,771 = 31,771 : x
  2. Step 2: Convert to fraction form
    21,014/31,771 = 31,771/x
  3. Step 3: Cross multiply
    21,014x = 31,771 × 31,771
  4. Step 4: Simplify right side
    21,014x = 1,009,396,441
  5. Step 5: Solve for x
    x = 1,009,396,441/21,014
  6. Step 6: Final answer
    x = 48,034.47

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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.