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Finding the Third Proportional to 229,728 and 479,136

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Solution

The third proportional to 229,728 and 479,136 is: 999,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,728 : 479,136 = 479,136 : x
  2. Step 2: Convert to fraction form
    229,728/479,136 = 479,136/x
  3. Step 3: Cross multiply
    229,728x = 479,136 × 479,136
  4. Step 4: Simplify right side
    229,728x = 229,571,306,496
  5. Step 5: Solve for x
    x = 229,571,306,496/229,728
  6. Step 6: Final answer
    x = 999,317.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.