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Finding the Third Proportional to 5,742 and 13,905

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Solution

The third proportional to 5,742 and 13,905 is: 33,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 13,905 = 13,905 : x
  2. Step 2: Convert to fraction form
    5,742/13,905 = 13,905/x
  3. Step 3: Cross multiply
    5,742x = 13,905 × 13,905
  4. Step 4: Simplify right side
    5,742x = 193,349,025
  5. Step 5: Solve for x
    x = 193,349,025/5,742
  6. Step 6: Final answer
    x = 33,672.77

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.