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Finding the Third Proportional to 13,147.31 and 19,857.66

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Solution

The third proportional to 13,147.31 and 19,857.66 is: 29,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.31 : 19,857.66 = 19,857.66 : x
  2. Step 2: Convert to fraction form
    13,147.31/19,857.66 = 19,857.66/x
  3. Step 3: Cross multiply
    13,147.31x = 19,857.66 × 19,857.66
  4. Step 4: Simplify right side
    13,147.31x = 394,326,511.74
  5. Step 5: Solve for x
    x = 394,326,511.74/13,147.31
  6. Step 6: Final answer
    x = 29,992.94

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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.