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Finding the Third Proportional to 196,680 and 295,212

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Solution

The third proportional to 196,680 and 295,212 is: 443,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,680 : 295,212 = 295,212 : x
  2. Step 2: Convert to fraction form
    196,680/295,212 = 295,212/x
  3. Step 3: Cross multiply
    196,680x = 295,212 × 295,212
  4. Step 4: Simplify right side
    196,680x = 87,150,124,944
  5. Step 5: Solve for x
    x = 87,150,124,944/196,680
  6. Step 6: Final answer
    x = 443,106.19

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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.