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Finding the Third Proportional to 206,723 and 426,730

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Solution

The third proportional to 206,723 and 426,730 is: 880,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,723 : 426,730 = 426,730 : x
  2. Step 2: Convert to fraction form
    206,723/426,730 = 426,730/x
  3. Step 3: Cross multiply
    206,723x = 426,730 × 426,730
  4. Step 4: Simplify right side
    206,723x = 182,098,492,900
  5. Step 5: Solve for x
    x = 182,098,492,900/206,723
  6. Step 6: Final answer
    x = 880,881.63

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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.