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Finding the Third Proportional to 206,269 and 425,386

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Solution

The third proportional to 206,269 and 425,386 is: 877,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,269 : 425,386 = 425,386 : x
  2. Step 2: Convert to fraction form
    206,269/425,386 = 425,386/x
  3. Step 3: Cross multiply
    206,269x = 425,386 × 425,386
  4. Step 4: Simplify right side
    206,269x = 180,953,248,996
  5. Step 5: Solve for x
    x = 180,953,248,996/206,269
  6. Step 6: Final answer
    x = 877,268.27

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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.