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Finding the Third Proportional to 201,809.81 and 428,223.38

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Solution

The third proportional to 201,809.81 and 428,223.38 is: 908,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.81 : 428,223.38 = 428,223.38 : x
  2. Step 2: Convert to fraction form
    201,809.81/428,223.38 = 428,223.38/x
  3. Step 3: Cross multiply
    201,809.81x = 428,223.38 × 428,223.38
  4. Step 4: Simplify right side
    201,809.81x = 183,375,258,896.39
  5. Step 5: Solve for x
    x = 183,375,258,896.39/201,809.81
  6. Step 6: Final answer
    x = 908,653.83

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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.