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Finding the Third Proportional to 19,109 and 25,743

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Solution

The third proportional to 19,109 and 25,743 is: 34,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,109 : 25,743 = 25,743 : x
  2. Step 2: Convert to fraction form
    19,109/25,743 = 25,743/x
  3. Step 3: Cross multiply
    19,109x = 25,743 × 25,743
  4. Step 4: Simplify right side
    19,109x = 662,702,049
  5. Step 5: Solve for x
    x = 662,702,049/19,109
  6. Step 6: Final answer
    x = 34,680.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.