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Finding the Third Proportional to 189,922.50 and 405,268.50

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Solution

The third proportional to 189,922.50 and 405,268.50 is: 864,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,922.50 : 405,268.50 = 405,268.50 : x
  2. Step 2: Convert to fraction form
    189,922.50/405,268.50 = 405,268.50/x
  3. Step 3: Cross multiply
    189,922.50x = 405,268.50 × 405,268.50
  4. Step 4: Simplify right side
    189,922.50x = 164,242,557,092.25
  5. Step 5: Solve for x
    x = 164,242,557,092.25/189,922.50
  6. Step 6: Final answer
    x = 864,787.25

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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.