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Finding the Third Proportional to 204,420 and 308,472.75

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Solution

The third proportional to 204,420 and 308,472.75 is: 465,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,420 : 308,472.75 = 308,472.75 : x
  2. Step 2: Convert to fraction form
    204,420/308,472.75 = 308,472.75/x
  3. Step 3: Cross multiply
    204,420x = 308,472.75 × 308,472.75
  4. Step 4: Simplify right side
    204,420x = 95,155,437,492.56
  5. Step 5: Solve for x
    x = 95,155,437,492.56/204,420
  6. Step 6: Final answer
    x = 465,489.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.