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Finding the Third Proportional to 33,742 and 53,627

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Solution

The third proportional to 33,742 and 53,627 is: 85,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742 : 53,627 = 53,627 : x
  2. Step 2: Convert to fraction form
    33,742/53,627 = 53,627/x
  3. Step 3: Cross multiply
    33,742x = 53,627 × 53,627
  4. Step 4: Simplify right side
    33,742x = 2,875,855,129
  5. Step 5: Solve for x
    x = 2,875,855,129/33,742
  6. Step 6: Final answer
    x = 85,230.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.