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Finding the Third Proportional to 204,435,065.25 and 446,336,718.75

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Solution

The third proportional to 204,435,065.25 and 446,336,718.75 is: 974,473,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,435,065.25 : 446,336,718.75 = 446,336,718.75 : x
  2. Step 2: Convert to fraction form
    204,435,065.25/446,336,718.75 = 446,336,718.75/x
  3. Step 3: Cross multiply
    204,435,065.25x = 446,336,718.75 × 446,336,718.75
  4. Step 4: Simplify right side
    204,435,065.25x = 199,216,466,504,516,608
  5. Step 5: Solve for x
    x = 199,216,466,504,516,608/204,435,065.25
  6. Step 6: Final answer
    x = 974,473,074.18

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.