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Finding the Third Proportional to 205,925 and 445,160.50

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Solution

The third proportional to 205,925 and 445,160.50 is: 962,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,925 : 445,160.50 = 445,160.50 : x
  2. Step 2: Convert to fraction form
    205,925/445,160.50 = 445,160.50/x
  3. Step 3: Cross multiply
    205,925x = 445,160.50 × 445,160.50
  4. Step 4: Simplify right side
    205,925x = 198,167,870,760.25
  5. Step 5: Solve for x
    x = 198,167,870,760.25/205,925
  6. Step 6: Final answer
    x = 962,330.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.