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Finding the Third Proportional to 21,192 and 31,138.50

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Solution

The third proportional to 21,192 and 31,138.50 is: 45,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192 : 31,138.50 = 31,138.50 : x
  2. Step 2: Convert to fraction form
    21,192/31,138.50 = 31,138.50/x
  3. Step 3: Cross multiply
    21,192x = 31,138.50 × 31,138.50
  4. Step 4: Simplify right side
    21,192x = 969,606,182.25
  5. Step 5: Solve for x
    x = 969,606,182.25/21,192
  6. Step 6: Final answer
    x = 45,753.41

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