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Finding the Third Proportional to 428,697.75 and 905,508.75

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Solution

The third proportional to 428,697.75 and 905,508.75 is: 1,912,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,697.75 : 905,508.75 = 905,508.75 : x
  2. Step 2: Convert to fraction form
    428,697.75/905,508.75 = 905,508.75/x
  3. Step 3: Cross multiply
    428,697.75x = 905,508.75 × 905,508.75
  4. Step 4: Simplify right side
    428,697.75x = 819,946,096,326.56
  5. Step 5: Solve for x
    x = 819,946,096,326.56/428,697.75
  6. Step 6: Final answer
    x = 1,912,643.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.