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Finding the Third Proportional to 219,042 and 485,635

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Solution

The third proportional to 219,042 and 485,635 is: 1,076,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,042 : 485,635 = 485,635 : x
  2. Step 2: Convert to fraction form
    219,042/485,635 = 485,635/x
  3. Step 3: Cross multiply
    219,042x = 485,635 × 485,635
  4. Step 4: Simplify right side
    219,042x = 235,841,353,225
  5. Step 5: Solve for x
    x = 235,841,353,225/219,042
  6. Step 6: Final answer
    x = 1,076,694.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.