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Finding the Third Proportional to 13,593 and 32,742

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Solution

The third proportional to 13,593 and 32,742 is: 78,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593 : 32,742 = 32,742 : x
  2. Step 2: Convert to fraction form
    13,593/32,742 = 32,742/x
  3. Step 3: Cross multiply
    13,593x = 32,742 × 32,742
  4. Step 4: Simplify right side
    13,593x = 1,072,038,564
  5. Step 5: Solve for x
    x = 1,072,038,564/13,593
  6. Step 6: Final answer
    x = 78,866.96

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.