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Finding the Third Proportional to 22,330 and 33,784

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Solution

The third proportional to 22,330 and 33,784 is: 51,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,330 : 33,784 = 33,784 : x
  2. Step 2: Convert to fraction form
    22,330/33,784 = 33,784/x
  3. Step 3: Cross multiply
    22,330x = 33,784 × 33,784
  4. Step 4: Simplify right side
    22,330x = 1,141,358,656
  5. Step 5: Solve for x
    x = 1,141,358,656/22,330
  6. Step 6: Final answer
    x = 51,113.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.