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Finding the Third Proportional to 22,942 and 33,986

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Solution

The third proportional to 22,942 and 33,986 is: 50,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942 : 33,986 = 33,986 : x
  2. Step 2: Convert to fraction form
    22,942/33,986 = 33,986/x
  3. Step 3: Cross multiply
    22,942x = 33,986 × 33,986
  4. Step 4: Simplify right side
    22,942x = 1,155,048,196
  5. Step 5: Solve for x
    x = 1,155,048,196/22,942
  6. Step 6: Final answer
    x = 50,346.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.