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Finding the Third Proportional to 66,993.56 and 106,640.34

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Solution

The third proportional to 66,993.56 and 106,640.34 is: 169,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,993.56 : 106,640.34 = 106,640.34 : x
  2. Step 2: Convert to fraction form
    66,993.56/106,640.34 = 106,640.34/x
  3. Step 3: Cross multiply
    66,993.56x = 106,640.34 × 106,640.34
  4. Step 4: Simplify right side
    66,993.56x = 11,372,162,915.12
  5. Step 5: Solve for x
    x = 11,372,162,915.12/66,993.56
  6. Step 6: Final answer
    x = 169,750.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.