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Finding the Third Proportional to 7,009 and 15,111

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Solution

The third proportional to 7,009 and 15,111 is: 32,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009 : 15,111 = 15,111 : x
  2. Step 2: Convert to fraction form
    7,009/15,111 = 15,111/x
  3. Step 3: Cross multiply
    7,009x = 15,111 × 15,111
  4. Step 4: Simplify right side
    7,009x = 228,342,321
  5. Step 5: Solve for x
    x = 228,342,321/7,009
  6. Step 6: Final answer
    x = 32,578.44

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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.