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Finding the Third Proportional to 206,415 and 426,990

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Solution

The third proportional to 206,415 and 426,990 is: 883,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415 : 426,990 = 426,990 : x
  2. Step 2: Convert to fraction form
    206,415/426,990 = 426,990/x
  3. Step 3: Cross multiply
    206,415x = 426,990 × 426,990
  4. Step 4: Simplify right side
    206,415x = 182,320,460,100
  5. Step 5: Solve for x
    x = 182,320,460,100/206,415
  6. Step 6: Final answer
    x = 883,271.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.