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Finding the Third Proportional to 204,140.50 and 306,414.25

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Solution

The third proportional to 204,140.50 and 306,414.25 is: 459,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,140.50 : 306,414.25 = 306,414.25 : x
  2. Step 2: Convert to fraction form
    204,140.50/306,414.25 = 306,414.25/x
  3. Step 3: Cross multiply
    204,140.50x = 306,414.25 × 306,414.25
  4. Step 4: Simplify right side
    204,140.50x = 93,889,692,603.06
  5. Step 5: Solve for x
    x = 93,889,692,603.06/204,140.50
  6. Step 6: Final answer
    x = 459,926.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.