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Finding the Third Proportional to 308,569 and 409,435

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Solution

The third proportional to 308,569 and 409,435 is: 543,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,569 : 409,435 = 409,435 : x
  2. Step 2: Convert to fraction form
    308,569/409,435 = 409,435/x
  3. Step 3: Cross multiply
    308,569x = 409,435 × 409,435
  4. Step 4: Simplify right side
    308,569x = 167,637,019,225
  5. Step 5: Solve for x
    x = 167,637,019,225/308,569
  6. Step 6: Final answer
    x = 543,272.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.