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Finding the Third Proportional to 7,420 and 16,009

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Solution

The third proportional to 7,420 and 16,009 is: 34,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 16,009 = 16,009 : x
  2. Step 2: Convert to fraction form
    7,420/16,009 = 16,009/x
  3. Step 3: Cross multiply
    7,420x = 16,009 × 16,009
  4. Step 4: Simplify right side
    7,420x = 256,288,081
  5. Step 5: Solve for x
    x = 256,288,081/7,420
  6. Step 6: Final answer
    x = 34,540.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.