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Finding the Third Proportional to 15,342.75 and 21,859.88

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Solution

The third proportional to 15,342.75 and 21,859.88 is: 31,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.75 : 21,859.88 = 21,859.88 : x
  2. Step 2: Convert to fraction form
    15,342.75/21,859.88 = 21,859.88/x
  3. Step 3: Cross multiply
    15,342.75x = 21,859.88 × 21,859.88
  4. Step 4: Simplify right side
    15,342.75x = 477,854,135.02
  5. Step 5: Solve for x
    x = 477,854,135.02/15,342.75
  6. Step 6: Final answer
    x = 31,145.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.