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Finding the Third Proportional to 69,318 and 103,515

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Solution

The third proportional to 69,318 and 103,515 is: 154,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,318 : 103,515 = 103,515 : x
  2. Step 2: Convert to fraction form
    69,318/103,515 = 103,515/x
  3. Step 3: Cross multiply
    69,318x = 103,515 × 103,515
  4. Step 4: Simplify right side
    69,318x = 10,715,355,225
  5. Step 5: Solve for x
    x = 10,715,355,225/69,318
  6. Step 6: Final answer
    x = 154,582.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.