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Finding the Third Proportional to 7,109 and 14,443

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Solution

The third proportional to 7,109 and 14,443 is: 29,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109 : 14,443 = 14,443 : x
  2. Step 2: Convert to fraction form
    7,109/14,443 = 14,443/x
  3. Step 3: Cross multiply
    7,109x = 14,443 × 14,443
  4. Step 4: Simplify right side
    7,109x = 208,600,249
  5. Step 5: Solve for x
    x = 208,600,249/7,109
  6. Step 6: Final answer
    x = 29,343.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.