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Finding the Third Proportional to 7,009 and 15,330

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Solution

The third proportional to 7,009 and 15,330 is: 33,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009 : 15,330 = 15,330 : x
  2. Step 2: Convert to fraction form
    7,009/15,330 = 15,330/x
  3. Step 3: Cross multiply
    7,009x = 15,330 × 15,330
  4. Step 4: Simplify right side
    7,009x = 235,008,900
  5. Step 5: Solve for x
    x = 235,008,900/7,009
  6. Step 6: Final answer
    x = 33,529.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.