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Finding the Third Proportional to 204,030 and 306,045

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Solution

The third proportional to 204,030 and 306,045 is: 459,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,030 : 306,045 = 306,045 : x
  2. Step 2: Convert to fraction form
    204,030/306,045 = 306,045/x
  3. Step 3: Cross multiply
    204,030x = 306,045 × 306,045
  4. Step 4: Simplify right side
    204,030x = 93,663,542,025
  5. Step 5: Solve for x
    x = 93,663,542,025/204,030
  6. Step 6: Final answer
    x = 459,067.50

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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.