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Finding the Third Proportional to 206,434 and 437,678

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Solution

The third proportional to 206,434 and 437,678 is: 927,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,434 : 437,678 = 437,678 : x
  2. Step 2: Convert to fraction form
    206,434/437,678 = 437,678/x
  3. Step 3: Cross multiply
    206,434x = 437,678 × 437,678
  4. Step 4: Simplify right side
    206,434x = 191,562,031,684
  5. Step 5: Solve for x
    x = 191,562,031,684/206,434
  6. Step 6: Final answer
    x = 927,957.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.