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Finding the Third Proportional to 74,740 and 109,234

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Solution

The third proportional to 74,740 and 109,234 is: 159,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,740 : 109,234 = 109,234 : x
  2. Step 2: Convert to fraction form
    74,740/109,234 = 109,234/x
  3. Step 3: Cross multiply
    74,740x = 109,234 × 109,234
  4. Step 4: Simplify right side
    74,740x = 11,932,066,756
  5. Step 5: Solve for x
    x = 11,932,066,756/74,740
  6. Step 6: Final answer
    x = 159,647.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.