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Finding the Third Proportional to 218,107.69 and 476,811.56

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Solution

The third proportional to 218,107.69 and 476,811.56 is: 1,042,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,107.69 : 476,811.56 = 476,811.56 : x
  2. Step 2: Convert to fraction form
    218,107.69/476,811.56 = 476,811.56/x
  3. Step 3: Cross multiply
    218,107.69x = 476,811.56 × 476,811.56
  4. Step 4: Simplify right side
    218,107.69x = 227,349,266,133.69
  5. Step 5: Solve for x
    x = 227,349,266,133.69/218,107.69
  6. Step 6: Final answer
    x = 1,042,371.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.