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Finding the Third Proportional to 108,321.19 and 143,764.31

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Solution

The third proportional to 108,321.19 and 143,764.31 is: 190,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,321.19 : 143,764.31 = 143,764.31 : x
  2. Step 2: Convert to fraction form
    108,321.19/143,764.31 = 143,764.31/x
  3. Step 3: Cross multiply
    108,321.19x = 143,764.31 × 143,764.31
  4. Step 4: Simplify right side
    108,321.19x = 20,668,177,548.60
  5. Step 5: Solve for x
    x = 20,668,177,548.60/108,321.19
  6. Step 6: Final answer
    x = 190,804.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.