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Finding the Third Proportional to 15,327 and 21,107.25

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Solution

The third proportional to 15,327 and 21,107.25 is: 29,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,327 : 21,107.25 = 21,107.25 : x
  2. Step 2: Convert to fraction form
    15,327/21,107.25 = 21,107.25/x
  3. Step 3: Cross multiply
    15,327x = 21,107.25 × 21,107.25
  4. Step 4: Simplify right side
    15,327x = 445,516,002.56
  5. Step 5: Solve for x
    x = 445,516,002.56/15,327
  6. Step 6: Final answer
    x = 29,067.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.