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Finding the Third Proportional to 200,728 and 433,136

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Solution

The third proportional to 200,728 and 433,136 is: 934,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728 : 433,136 = 433,136 : x
  2. Step 2: Convert to fraction form
    200,728/433,136 = 433,136/x
  3. Step 3: Cross multiply
    200,728x = 433,136 × 433,136
  4. Step 4: Simplify right side
    200,728x = 187,606,794,496
  5. Step 5: Solve for x
    x = 187,606,794,496/200,728
  6. Step 6: Final answer
    x = 934,631.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.