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Finding the Third Proportional to 206,401.92 and 290,662.17

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Solution

The third proportional to 206,401.92 and 290,662.17 is: 409,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.92 : 290,662.17 = 290,662.17 : x
  2. Step 2: Convert to fraction form
    206,401.92/290,662.17 = 290,662.17/x
  3. Step 3: Cross multiply
    206,401.92x = 290,662.17 × 290,662.17
  4. Step 4: Simplify right side
    206,401.92x = 84,484,498,159.09
  5. Step 5: Solve for x
    x = 84,484,498,159.09/206,401.92
  6. Step 6: Final answer
    x = 409,320.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.