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Finding the Third Proportional to 457,890.75 and 994,559.25

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Solution

The third proportional to 457,890.75 and 994,559.25 is: 2,160,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,890.75 : 994,559.25 = 994,559.25 : x
  2. Step 2: Convert to fraction form
    457,890.75/994,559.25 = 994,559.25/x
  3. Step 3: Cross multiply
    457,890.75x = 994,559.25 × 994,559.25
  4. Step 4: Simplify right side
    457,890.75x = 989,148,101,760.56
  5. Step 5: Solve for x
    x = 989,148,101,760.56/457,890.75
  6. Step 6: Final answer
    x = 2,160,227.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.