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Finding the Third Proportional to 30,823.03 and 66,408.19

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Solution

The third proportional to 30,823.03 and 66,408.19 is: 143,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.03 : 66,408.19 = 66,408.19 : x
  2. Step 2: Convert to fraction form
    30,823.03/66,408.19 = 66,408.19/x
  3. Step 3: Cross multiply
    30,823.03x = 66,408.19 × 66,408.19
  4. Step 4: Simplify right side
    30,823.03x = 4,410,047,367.04
  5. Step 5: Solve for x
    x = 4,410,047,367.04/30,823.03
  6. Step 6: Final answer
    x = 143,076.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.