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Finding the Third Proportional to 380,345.63 and 543,858.75

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Solution

The third proportional to 380,345.63 and 543,858.75 is: 777,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,345.63 : 543,858.75 = 543,858.75 : x
  2. Step 2: Convert to fraction form
    380,345.63/543,858.75 = 543,858.75/x
  3. Step 3: Cross multiply
    380,345.63x = 543,858.75 × 543,858.75
  4. Step 4: Simplify right side
    380,345.63x = 295,782,339,951.56
  5. Step 5: Solve for x
    x = 295,782,339,951.56/380,345.63
  6. Step 6: Final answer
    x = 777,667.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.