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Finding the Third Proportional to 10,195 and 22,258

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Solution

The third proportional to 10,195 and 22,258 is: 48,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195 : 22,258 = 22,258 : x
  2. Step 2: Convert to fraction form
    10,195/22,258 = 22,258/x
  3. Step 3: Cross multiply
    10,195x = 22,258 × 22,258
  4. Step 4: Simplify right side
    10,195x = 495,418,564
  5. Step 5: Solve for x
    x = 495,418,564/10,195
  6. Step 6: Final answer
    x = 48,594.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.