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Finding the Third Proportional to 13,915.13 and 20,565.56

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Solution

The third proportional to 13,915.13 and 20,565.56 is: 30,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.13 : 20,565.56 = 20,565.56 : x
  2. Step 2: Convert to fraction form
    13,915.13/20,565.56 = 20,565.56/x
  3. Step 3: Cross multiply
    13,915.13x = 20,565.56 × 20,565.56
  4. Step 4: Simplify right side
    13,915.13x = 422,942,360.94
  5. Step 5: Solve for x
    x = 422,942,360.94/13,915.13
  6. Step 6: Final answer
    x = 30,394.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.