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Finding the Third Proportional to 201,808 and 428,213

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Solution

The third proportional to 201,808 and 428,213 is: 908,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808 : 428,213 = 428,213 : x
  2. Step 2: Convert to fraction form
    201,808/428,213 = 428,213/x
  3. Step 3: Cross multiply
    201,808x = 428,213 × 428,213
  4. Step 4: Simplify right side
    201,808x = 183,366,373,369
  5. Step 5: Solve for x
    x = 183,366,373,369/201,808
  6. Step 6: Final answer
    x = 908,617.96

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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.