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Finding the Third Proportional to 206,413 and 426,986

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Solution

The third proportional to 206,413 and 426,986 is: 883,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413 : 426,986 = 426,986 : x
  2. Step 2: Convert to fraction form
    206,413/426,986 = 426,986/x
  3. Step 3: Cross multiply
    206,413x = 426,986 × 426,986
  4. Step 4: Simplify right side
    206,413x = 182,317,044,196
  5. Step 5: Solve for x
    x = 182,317,044,196/206,413
  6. Step 6: Final answer
    x = 883,263.38

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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.