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Finding the Third Proportional to 10,902.94 and 18,011.53

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Solution

The third proportional to 10,902.94 and 18,011.53 is: 29,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.94 : 18,011.53 = 18,011.53 : x
  2. Step 2: Convert to fraction form
    10,902.94/18,011.53 = 18,011.53/x
  3. Step 3: Cross multiply
    10,902.94x = 18,011.53 × 18,011.53
  4. Step 4: Simplify right side
    10,902.94x = 324,415,257.97
  5. Step 5: Solve for x
    x = 324,415,257.97/10,902.94
  6. Step 6: Final answer
    x = 29,754.85

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.