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Finding the Third Proportional to 204,228 and 285,655.50

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Solution

The third proportional to 204,228 and 285,655.50 is: 399,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,228 : 285,655.50 = 285,655.50 : x
  2. Step 2: Convert to fraction form
    204,228/285,655.50 = 285,655.50/x
  3. Step 3: Cross multiply
    204,228x = 285,655.50 × 285,655.50
  4. Step 4: Simplify right side
    204,228x = 81,599,064,680.25
  5. Step 5: Solve for x
    x = 81,599,064,680.25/204,228
  6. Step 6: Final answer
    x = 399,548.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.