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Finding the Third Proportional to 9,678 and 20,965.50

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Solution

The third proportional to 9,678 and 20,965.50 is: 45,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 20,965.50 = 20,965.50 : x
  2. Step 2: Convert to fraction form
    9,678/20,965.50 = 20,965.50/x
  3. Step 3: Cross multiply
    9,678x = 20,965.50 × 20,965.50
  4. Step 4: Simplify right side
    9,678x = 439,552,190.25
  5. Step 5: Solve for x
    x = 439,552,190.25/9,678
  6. Step 6: Final answer
    x = 45,417.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.