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Finding the Third Proportional to 191,270 and 420,286

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Solution

The third proportional to 191,270 and 420,286 is: 923,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,270 : 420,286 = 420,286 : x
  2. Step 2: Convert to fraction form
    191,270/420,286 = 420,286/x
  3. Step 3: Cross multiply
    191,270x = 420,286 × 420,286
  4. Step 4: Simplify right side
    191,270x = 176,640,321,796
  5. Step 5: Solve for x
    x = 176,640,321,796/191,270
  6. Step 6: Final answer
    x = 923,512.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.