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Finding the Third Proportional to 285,342.75 and 427,234.50

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Solution

The third proportional to 285,342.75 and 427,234.50 is: 639,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,342.75 : 427,234.50 = 427,234.50 : x
  2. Step 2: Convert to fraction form
    285,342.75/427,234.50 = 427,234.50/x
  3. Step 3: Cross multiply
    285,342.75x = 427,234.50 × 427,234.50
  4. Step 4: Simplify right side
    285,342.75x = 182,529,317,990.25
  5. Step 5: Solve for x
    x = 182,529,317,990.25/285,342.75
  6. Step 6: Final answer
    x = 639,684.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.