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Finding the Third Proportional to 22,635 and 33,258.38

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Solution

The third proportional to 22,635 and 33,258.38 is: 48,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635 : 33,258.38 = 33,258.38 : x
  2. Step 2: Convert to fraction form
    22,635/33,258.38 = 33,258.38/x
  3. Step 3: Cross multiply
    22,635x = 33,258.38 × 33,258.38
  4. Step 4: Simplify right side
    22,635x = 1,106,119,507.64
  5. Step 5: Solve for x
    x = 1,106,119,507.64/22,635
  6. Step 6: Final answer
    x = 48,867.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.