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Finding the Third Proportional to 21,913 and 32,831

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Solution

The third proportional to 21,913 and 32,831 is: 49,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913 : 32,831 = 32,831 : x
  2. Step 2: Convert to fraction form
    21,913/32,831 = 32,831/x
  3. Step 3: Cross multiply
    21,913x = 32,831 × 32,831
  4. Step 4: Simplify right side
    21,913x = 1,077,874,561
  5. Step 5: Solve for x
    x = 1,077,874,561/21,913
  6. Step 6: Final answer
    x = 49,188.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.