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Finding the Third Proportional to 303,476 and 437,136

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Solution

The third proportional to 303,476 and 437,136 is: 629,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,476 : 437,136 = 437,136 : x
  2. Step 2: Convert to fraction form
    303,476/437,136 = 437,136/x
  3. Step 3: Cross multiply
    303,476x = 437,136 × 437,136
  4. Step 4: Simplify right side
    303,476x = 191,087,882,496
  5. Step 5: Solve for x
    x = 191,087,882,496/303,476
  6. Step 6: Final answer
    x = 629,663.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.