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Finding the Third Proportional to 323,125.88 and 690,234.75

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Solution

The third proportional to 323,125.88 and 690,234.75 is: 1,474,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,125.88 : 690,234.75 = 690,234.75 : x
  2. Step 2: Convert to fraction form
    323,125.88/690,234.75 = 690,234.75/x
  3. Step 3: Cross multiply
    323,125.88x = 690,234.75 × 690,234.75
  4. Step 4: Simplify right side
    323,125.88x = 476,424,010,107.56
  5. Step 5: Solve for x
    x = 476,424,010,107.56/323,125.88
  6. Step 6: Final answer
    x = 1,474,422.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.