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Finding the Third Proportional to 9,253 and 14,109

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Solution

The third proportional to 9,253 and 14,109 is: 21,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253 : 14,109 = 14,109 : x
  2. Step 2: Convert to fraction form
    9,253/14,109 = 14,109/x
  3. Step 3: Cross multiply
    9,253x = 14,109 × 14,109
  4. Step 4: Simplify right side
    9,253x = 199,063,881
  5. Step 5: Solve for x
    x = 199,063,881/9,253
  6. Step 6: Final answer
    x = 21,513.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.