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Finding the Third Proportional to 245,513.53 and 378,396.56

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Solution

The third proportional to 245,513.53 and 378,396.56 is: 583,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,513.53 : 378,396.56 = 378,396.56 : x
  2. Step 2: Convert to fraction form
    245,513.53/378,396.56 = 378,396.56/x
  3. Step 3: Cross multiply
    245,513.53x = 378,396.56 × 378,396.56
  4. Step 4: Simplify right side
    245,513.53x = 143,183,958,511.82
  5. Step 5: Solve for x
    x = 143,183,958,511.82/245,513.53
  6. Step 6: Final answer
    x = 583,201.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.