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Finding the Third Proportional to 90,331 and 196,747

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Solution

The third proportional to 90,331 and 196,747 is: 428,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,331 : 196,747 = 196,747 : x
  2. Step 2: Convert to fraction form
    90,331/196,747 = 196,747/x
  3. Step 3: Cross multiply
    90,331x = 196,747 × 196,747
  4. Step 4: Simplify right side
    90,331x = 38,709,382,009
  5. Step 5: Solve for x
    x = 38,709,382,009/90,331
  6. Step 6: Final answer
    x = 428,528.21

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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.