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Finding the Third Proportional to 15,120.50 and 19,764.75

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Solution

The third proportional to 15,120.50 and 19,764.75 is: 25,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.50 : 19,764.75 = 19,764.75 : x
  2. Step 2: Convert to fraction form
    15,120.50/19,764.75 = 19,764.75/x
  3. Step 3: Cross multiply
    15,120.50x = 19,764.75 × 19,764.75
  4. Step 4: Simplify right side
    15,120.50x = 390,645,342.56
  5. Step 5: Solve for x
    x = 390,645,342.56/15,120.50
  6. Step 6: Final answer
    x = 25,835.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.