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Finding the Third Proportional to 73,053.75 and 109,286.50

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Solution

The third proportional to 73,053.75 and 109,286.50 is: 163,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,053.75 : 109,286.50 = 109,286.50 : x
  2. Step 2: Convert to fraction form
    73,053.75/109,286.50 = 109,286.50/x
  3. Step 3: Cross multiply
    73,053.75x = 109,286.50 × 109,286.50
  4. Step 4: Simplify right side
    73,053.75x = 11,943,539,082.25
  5. Step 5: Solve for x
    x = 11,943,539,082.25/73,053.75
  6. Step 6: Final answer
    x = 163,489.75

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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.