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Finding the Third Proportional to 189,923.63 and 405,268.31

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Solution

The third proportional to 189,923.63 and 405,268.31 is: 864,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,923.63 : 405,268.31 = 405,268.31 : x
  2. Step 2: Convert to fraction form
    189,923.63/405,268.31 = 405,268.31/x
  3. Step 3: Cross multiply
    189,923.63x = 405,268.31 × 405,268.31
  4. Step 4: Simplify right side
    189,923.63x = 164,242,405,116.60
  5. Step 5: Solve for x
    x = 164,242,405,116.60/189,923.63
  6. Step 6: Final answer
    x = 864,781.33

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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.