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Finding the Third Proportional to 204,912 and 316,456

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Solution

The third proportional to 204,912 and 316,456 is: 488,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,912 : 316,456 = 316,456 : x
  2. Step 2: Convert to fraction form
    204,912/316,456 = 316,456/x
  3. Step 3: Cross multiply
    204,912x = 316,456 × 316,456
  4. Step 4: Simplify right side
    204,912x = 100,144,399,936
  5. Step 5: Solve for x
    x = 100,144,399,936/204,912
  6. Step 6: Final answer
    x = 488,719.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.