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Finding the Third Proportional to 204,328 and 315,580

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Solution

The third proportional to 204,328 and 315,580 is: 487,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,328 : 315,580 = 315,580 : x
  2. Step 2: Convert to fraction form
    204,328/315,580 = 315,580/x
  3. Step 3: Cross multiply
    204,328x = 315,580 × 315,580
  4. Step 4: Simplify right side
    204,328x = 99,590,736,400
  5. Step 5: Solve for x
    x = 99,590,736,400/204,328
  6. Step 6: Final answer
    x = 487,406.21

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