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Finding the Third Proportional to 19,279.50 and 28,839

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Solution

The third proportional to 19,279.50 and 28,839 is: 43,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,279.50 : 28,839 = 28,839 : x
  2. Step 2: Convert to fraction form
    19,279.50/28,839 = 28,839/x
  3. Step 3: Cross multiply
    19,279.50x = 28,839 × 28,839
  4. Step 4: Simplify right side
    19,279.50x = 831,687,921
  5. Step 5: Solve for x
    x = 831,687,921/19,279.50
  6. Step 6: Final answer
    x = 43,138.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.