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Finding the Third Proportional to 19,115 and 28,109

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Solution

The third proportional to 19,115 and 28,109 is: 41,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,115 : 28,109 = 28,109 : x
  2. Step 2: Convert to fraction form
    19,115/28,109 = 28,109/x
  3. Step 3: Cross multiply
    19,115x = 28,109 × 28,109
  4. Step 4: Simplify right side
    19,115x = 790,115,881
  5. Step 5: Solve for x
    x = 790,115,881/19,115
  6. Step 6: Final answer
    x = 41,334.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.