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Finding the Third Proportional to 108,619.50 and 161,235.75

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Solution

The third proportional to 108,619.50 and 161,235.75 is: 239,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,619.50 : 161,235.75 = 161,235.75 : x
  2. Step 2: Convert to fraction form
    108,619.50/161,235.75 = 161,235.75/x
  3. Step 3: Cross multiply
    108,619.50x = 161,235.75 × 161,235.75
  4. Step 4: Simplify right side
    108,619.50x = 25,996,967,078.06
  5. Step 5: Solve for x
    x = 25,996,967,078.06/108,619.50
  6. Step 6: Final answer
    x = 239,339.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.