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Finding the Third Proportional to 13,053 and 19,109

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Solution

The third proportional to 13,053 and 19,109 is: 27,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053 : 19,109 = 19,109 : x
  2. Step 2: Convert to fraction form
    13,053/19,109 = 19,109/x
  3. Step 3: Cross multiply
    13,053x = 19,109 × 19,109
  4. Step 4: Simplify right side
    13,053x = 365,153,881
  5. Step 5: Solve for x
    x = 365,153,881/13,053
  6. Step 6: Final answer
    x = 27,974.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.