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Finding the Third Proportional to 69,398 and 103,812

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Solution

The third proportional to 69,398 and 103,812 is: 155,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,398 : 103,812 = 103,812 : x
  2. Step 2: Convert to fraction form
    69,398/103,812 = 103,812/x
  3. Step 3: Cross multiply
    69,398x = 103,812 × 103,812
  4. Step 4: Simplify right side
    69,398x = 10,776,931,344
  5. Step 5: Solve for x
    x = 10,776,931,344/69,398
  6. Step 6: Final answer
    x = 155,291.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.