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Finding the Third Proportional to 21,190 and 31,137

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Solution

The third proportional to 21,190 and 31,137 is: 45,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190 : 31,137 = 31,137 : x
  2. Step 2: Convert to fraction form
    21,190/31,137 = 31,137/x
  3. Step 3: Cross multiply
    21,190x = 31,137 × 31,137
  4. Step 4: Simplify right side
    21,190x = 969,512,769
  5. Step 5: Solve for x
    x = 969,512,769/21,190
  6. Step 6: Final answer
    x = 45,753.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.