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Finding the Third Proportional to 104,551.88 and 222,589.13

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Solution

The third proportional to 104,551.88 and 222,589.13 is: 473,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,551.88 : 222,589.13 = 222,589.13 : x
  2. Step 2: Convert to fraction form
    104,551.88/222,589.13 = 222,589.13/x
  3. Step 3: Cross multiply
    104,551.88x = 222,589.13 × 222,589.13
  4. Step 4: Simplify right side
    104,551.88x = 49,545,918,568.27
  5. Step 5: Solve for x
    x = 49,545,918,568.27/104,551.88
  6. Step 6: Final answer
    x = 473,888.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.