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Finding the Third Proportional to 206,670 and 292,519

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Solution

The third proportional to 206,670 and 292,519 is: 414,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,670 : 292,519 = 292,519 : x
  2. Step 2: Convert to fraction form
    206,670/292,519 = 292,519/x
  3. Step 3: Cross multiply
    206,670x = 292,519 × 292,519
  4. Step 4: Simplify right side
    206,670x = 85,567,365,361
  5. Step 5: Solve for x
    x = 85,567,365,361/206,670
  6. Step 6: Final answer
    x = 414,028.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.