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Finding the Third Proportional to 201,811.50 and 428,221.69

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Solution

The third proportional to 201,811.50 and 428,221.69 is: 908,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.50 : 428,221.69 = 428,221.69 : x
  2. Step 2: Convert to fraction form
    201,811.50/428,221.69 = 428,221.69/x
  3. Step 3: Cross multiply
    201,811.50x = 428,221.69 × 428,221.69
  4. Step 4: Simplify right side
    201,811.50x = 183,373,813,645.35
  5. Step 5: Solve for x
    x = 183,373,813,645.35/201,811.50
  6. Step 6: Final answer
    x = 908,639.07

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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.