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Finding the Third Proportional to 210,728 and 323,136

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Solution

The third proportional to 210,728 and 323,136 is: 495,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,728 : 323,136 = 323,136 : x
  2. Step 2: Convert to fraction form
    210,728/323,136 = 323,136/x
  3. Step 3: Cross multiply
    210,728x = 323,136 × 323,136
  4. Step 4: Simplify right side
    210,728x = 104,416,874,496
  5. Step 5: Solve for x
    x = 104,416,874,496/210,728
  6. Step 6: Final answer
    x = 495,505.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.