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Finding the Third Proportional to 428,899 and 571,801

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Solution

The third proportional to 428,899 and 571,801 is: 762,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,899 : 571,801 = 571,801 : x
  2. Step 2: Convert to fraction form
    428,899/571,801 = 571,801/x
  3. Step 3: Cross multiply
    428,899x = 571,801 × 571,801
  4. Step 4: Simplify right side
    428,899x = 326,956,383,601
  5. Step 5: Solve for x
    x = 326,956,383,601/428,899
  6. Step 6: Final answer
    x = 762,315.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.