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Finding the Third Proportional to 378,450 and 569,254.50

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Solution

The third proportional to 378,450 and 569,254.50 is: 856,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,450 : 569,254.50 = 569,254.50 : x
  2. Step 2: Convert to fraction form
    378,450/569,254.50 = 569,254.50/x
  3. Step 3: Cross multiply
    378,450x = 569,254.50 × 569,254.50
  4. Step 4: Simplify right side
    378,450x = 324,050,685,770.25
  5. Step 5: Solve for x
    x = 324,050,685,770.25/378,450
  6. Step 6: Final answer
    x = 856,257.59

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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.