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Finding the Third Proportional to 410,336 and 641,424

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Solution

The third proportional to 410,336 and 641,424 is: 1,002,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,336 : 641,424 = 641,424 : x
  2. Step 2: Convert to fraction form
    410,336/641,424 = 641,424/x
  3. Step 3: Cross multiply
    410,336x = 641,424 × 641,424
  4. Step 4: Simplify right side
    410,336x = 411,424,747,776
  5. Step 5: Solve for x
    x = 411,424,747,776/410,336
  6. Step 6: Final answer
    x = 1,002,653.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.