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Finding the Third Proportional to 204,678 and 315,764

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Solution

The third proportional to 204,678 and 315,764 is: 487,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,678 : 315,764 = 315,764 : x
  2. Step 2: Convert to fraction form
    204,678/315,764 = 315,764/x
  3. Step 3: Cross multiply
    204,678x = 315,764 × 315,764
  4. Step 4: Simplify right side
    204,678x = 99,706,903,696
  5. Step 5: Solve for x
    x = 99,706,903,696/204,678
  6. Step 6: Final answer
    x = 487,140.31

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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.