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Finding the Third Proportional to 81,539.37 and 165,269.53

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Solution

The third proportional to 81,539.37 and 165,269.53 is: 334,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,539.37 : 165,269.53 = 165,269.53 : x
  2. Step 2: Convert to fraction form
    81,539.37/165,269.53 = 165,269.53/x
  3. Step 3: Cross multiply
    81,539.37x = 165,269.53 × 165,269.53
  4. Step 4: Simplify right side
    81,539.37x = 27,314,017,959.59
  5. Step 5: Solve for x
    x = 27,314,017,959.59/81,539.37
  6. Step 6: Final answer
    x = 334,979.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.