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Finding the Third Proportional to 308,252 and 666,136

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Solution

The third proportional to 308,252 and 666,136 is: 1,439,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,252 : 666,136 = 666,136 : x
  2. Step 2: Convert to fraction form
    308,252/666,136 = 666,136/x
  3. Step 3: Cross multiply
    308,252x = 666,136 × 666,136
  4. Step 4: Simplify right side
    308,252x = 443,737,170,496
  5. Step 5: Solve for x
    x = 443,737,170,496/308,252
  6. Step 6: Final answer
    x = 1,439,527.30

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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.