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Finding the Third Proportional to 13,744.50 and 29,109

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Solution

The third proportional to 13,744.50 and 29,109 is: 61,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.50 : 29,109 = 29,109 : x
  2. Step 2: Convert to fraction form
    13,744.50/29,109 = 29,109/x
  3. Step 3: Cross multiply
    13,744.50x = 29,109 × 29,109
  4. Step 4: Simplify right side
    13,744.50x = 847,333,881
  5. Step 5: Solve for x
    x = 847,333,881/13,744.50
  6. Step 6: Final answer
    x = 61,648.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.