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Finding the Third Proportional to 86,317.31 and 188,315.72

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Solution

The third proportional to 86,317.31 and 188,315.72 is: 410,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,317.31 : 188,315.72 = 188,315.72 : x
  2. Step 2: Convert to fraction form
    86,317.31/188,315.72 = 188,315.72/x
  3. Step 3: Cross multiply
    86,317.31x = 188,315.72 × 188,315.72
  4. Step 4: Simplify right side
    86,317.31x = 35,462,809,928.33
  5. Step 5: Solve for x
    x = 35,462,809,928.33/86,317.31
  6. Step 6: Final answer
    x = 410,842.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.