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Finding the Third Proportional to 206,890 and 426,724

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Solution

The third proportional to 206,890 and 426,724 is: 880,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,890 : 426,724 = 426,724 : x
  2. Step 2: Convert to fraction form
    206,890/426,724 = 426,724/x
  3. Step 3: Cross multiply
    206,890x = 426,724 × 426,724
  4. Step 4: Simplify right side
    206,890x = 182,093,372,176
  5. Step 5: Solve for x
    x = 182,093,372,176/206,890
  6. Step 6: Final answer
    x = 880,145.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.