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Finding the Third Proportional to 206,721 and 426,726

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Solution

The third proportional to 206,721 and 426,726 is: 880,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,721 : 426,726 = 426,726 : x
  2. Step 2: Convert to fraction form
    206,721/426,726 = 426,726/x
  3. Step 3: Cross multiply
    206,721x = 426,726 × 426,726
  4. Step 4: Simplify right side
    206,721x = 182,095,079,076
  5. Step 5: Solve for x
    x = 182,095,079,076/206,721
  6. Step 6: Final answer
    x = 880,873.64

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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.