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Finding the Third Proportional to 239,821 and 346,472

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Solution

The third proportional to 239,821 and 346,472 is: 500,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,821 : 346,472 = 346,472 : x
  2. Step 2: Convert to fraction form
    239,821/346,472 = 346,472/x
  3. Step 3: Cross multiply
    239,821x = 346,472 × 346,472
  4. Step 4: Simplify right side
    239,821x = 120,042,846,784
  5. Step 5: Solve for x
    x = 120,042,846,784/239,821
  6. Step 6: Final answer
    x = 500,551.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.