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Finding the Third Proportional to 204,136 and 317,381

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Solution

The third proportional to 204,136 and 317,381 is: 493,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,136 : 317,381 = 317,381 : x
  2. Step 2: Convert to fraction form
    204,136/317,381 = 317,381/x
  3. Step 3: Cross multiply
    204,136x = 317,381 × 317,381
  4. Step 4: Simplify right side
    204,136x = 100,730,699,161
  5. Step 5: Solve for x
    x = 100,730,699,161/204,136
  6. Step 6: Final answer
    x = 493,448.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.