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Finding the Third Proportional to 201,809 and 428,216

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Solution

The third proportional to 201,809 and 428,216 is: 908,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809 : 428,216 = 428,216 : x
  2. Step 2: Convert to fraction form
    201,809/428,216 = 428,216/x
  3. Step 3: Cross multiply
    201,809x = 428,216 × 428,216
  4. Step 4: Simplify right side
    201,809x = 183,368,942,656
  5. Step 5: Solve for x
    x = 183,368,942,656/201,809
  6. Step 6: Final answer
    x = 908,626.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.