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Finding the Third Proportional to 102,406 and 211,915

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Solution

The third proportional to 102,406 and 211,915 is: 438,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406 : 211,915 = 211,915 : x
  2. Step 2: Convert to fraction form
    102,406/211,915 = 211,915/x
  3. Step 3: Cross multiply
    102,406x = 211,915 × 211,915
  4. Step 4: Simplify right side
    102,406x = 44,907,967,225
  5. Step 5: Solve for x
    x = 44,907,967,225/102,406
  6. Step 6: Final answer
    x = 438,528.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.