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Finding the Third Proportional to 209,088 and 323,136

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Solution

The third proportional to 209,088 and 323,136 is: 499,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,088 : 323,136 = 323,136 : x
  2. Step 2: Convert to fraction form
    209,088/323,136 = 323,136/x
  3. Step 3: Cross multiply
    209,088x = 323,136 × 323,136
  4. Step 4: Simplify right side
    209,088x = 104,416,874,496
  5. Step 5: Solve for x
    x = 104,416,874,496/209,088
  6. Step 6: Final answer
    x = 499,392

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.