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Finding the Third Proportional to 7,728.75 and 18,529.88

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Solution

The third proportional to 7,728.75 and 18,529.88 is: 44,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.75 : 18,529.88 = 18,529.88 : x
  2. Step 2: Convert to fraction form
    7,728.75/18,529.88 = 18,529.88/x
  3. Step 3: Cross multiply
    7,728.75x = 18,529.88 × 18,529.88
  4. Step 4: Simplify right side
    7,728.75x = 343,356,267.52
  5. Step 5: Solve for x
    x = 343,356,267.52/7,728.75
  6. Step 6: Final answer
    x = 44,425.85

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.