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Finding the Third Proportional to 36,990 and 80,900.25

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Solution

The third proportional to 36,990 and 80,900.25 is: 176,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,990 : 80,900.25 = 80,900.25 : x
  2. Step 2: Convert to fraction form
    36,990/80,900.25 = 80,900.25/x
  3. Step 3: Cross multiply
    36,990x = 80,900.25 × 80,900.25
  4. Step 4: Simplify right side
    36,990x = 6,544,850,450.06
  5. Step 5: Solve for x
    x = 6,544,850,450.06/36,990
  6. Step 6: Final answer
    x = 176,935.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.