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Finding the Third Proportional to 378,388.50 and 569,172

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Solution

The third proportional to 378,388.50 and 569,172 is: 856,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,388.50 : 569,172 = 569,172 : x
  2. Step 2: Convert to fraction form
    378,388.50/569,172 = 569,172/x
  3. Step 3: Cross multiply
    378,388.50x = 569,172 × 569,172
  4. Step 4: Simplify right side
    378,388.50x = 323,956,765,584
  5. Step 5: Solve for x
    x = 323,956,765,584/378,388.50
  6. Step 6: Final answer
    x = 856,148.55

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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.