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Finding the Third Proportional to 120,885.75 and 285,437.25

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Solution

The third proportional to 120,885.75 and 285,437.25 is: 673,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,885.75 : 285,437.25 = 285,437.25 : x
  2. Step 2: Convert to fraction form
    120,885.75/285,437.25 = 285,437.25/x
  3. Step 3: Cross multiply
    120,885.75x = 285,437.25 × 285,437.25
  4. Step 4: Simplify right side
    120,885.75x = 81,474,423,687.56
  5. Step 5: Solve for x
    x = 81,474,423,687.56/120,885.75
  6. Step 6: Final answer
    x = 673,978.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.