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Finding the Third Proportional to 54,362.81 and 81,291.09

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Solution

The third proportional to 54,362.81 and 81,291.09 is: 121,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362.81 : 81,291.09 = 81,291.09 : x
  2. Step 2: Convert to fraction form
    54,362.81/81,291.09 = 81,291.09/x
  3. Step 3: Cross multiply
    54,362.81x = 81,291.09 × 81,291.09
  4. Step 4: Simplify right side
    54,362.81x = 6,608,241,923.07
  5. Step 5: Solve for x
    x = 6,608,241,923.07/54,362.81
  6. Step 6: Final answer
    x = 121,558.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.