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Finding the Third Proportional to 150,383.25 and 218,804.63

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Solution

The third proportional to 150,383.25 and 218,804.63 is: 318,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,383.25 : 218,804.63 = 218,804.63 : x
  2. Step 2: Convert to fraction form
    150,383.25/218,804.63 = 218,804.63/x
  3. Step 3: Cross multiply
    150,383.25x = 218,804.63 × 218,804.63
  4. Step 4: Simplify right side
    150,383.25x = 47,875,463,921.39
  5. Step 5: Solve for x
    x = 47,875,463,921.39/150,383.25
  6. Step 6: Final answer
    x = 318,356.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.