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Finding the Third Proportional to 399,255 and 587,136

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Solution

The third proportional to 399,255 and 587,136 is: 863,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,255 : 587,136 = 587,136 : x
  2. Step 2: Convert to fraction form
    399,255/587,136 = 587,136/x
  3. Step 3: Cross multiply
    399,255x = 587,136 × 587,136
  4. Step 4: Simplify right side
    399,255x = 344,728,682,496
  5. Step 5: Solve for x
    x = 344,728,682,496/399,255
  6. Step 6: Final answer
    x = 863,429.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.