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Finding the Third Proportional to 308,575 and 409,444

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Solution

The third proportional to 308,575 and 409,444 is: 543,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,575 : 409,444 = 409,444 : x
  2. Step 2: Convert to fraction form
    308,575/409,444 = 409,444/x
  3. Step 3: Cross multiply
    308,575x = 409,444 × 409,444
  4. Step 4: Simplify right side
    308,575x = 167,644,389,136
  5. Step 5: Solve for x
    x = 167,644,389,136/308,575
  6. Step 6: Final answer
    x = 543,285.71

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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.