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Finding the Third Proportional to 263,784 and 638,136

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Solution

The third proportional to 263,784 and 638,136 is: 1,543,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,784 : 638,136 = 638,136 : x
  2. Step 2: Convert to fraction form
    263,784/638,136 = 638,136/x
  3. Step 3: Cross multiply
    263,784x = 638,136 × 638,136
  4. Step 4: Simplify right side
    263,784x = 407,217,554,496
  5. Step 5: Solve for x
    x = 407,217,554,496/263,784
  6. Step 6: Final answer
    x = 1,543,753.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.