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Finding the Third Proportional to 222,268.50 and 344,682

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Solution

The third proportional to 222,268.50 and 344,682 is: 534,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,268.50 : 344,682 = 344,682 : x
  2. Step 2: Convert to fraction form
    222,268.50/344,682 = 344,682/x
  3. Step 3: Cross multiply
    222,268.50x = 344,682 × 344,682
  4. Step 4: Simplify right side
    222,268.50x = 118,805,681,124
  5. Step 5: Solve for x
    x = 118,805,681,124/222,268.50
  6. Step 6: Final answer
    x = 534,514.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.