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Finding the Third Proportional to 385,176 and 847,212

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Solution

The third proportional to 385,176 and 847,212 is: 1,863,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,176 : 847,212 = 847,212 : x
  2. Step 2: Convert to fraction form
    385,176/847,212 = 847,212/x
  3. Step 3: Cross multiply
    385,176x = 847,212 × 847,212
  4. Step 4: Simplify right side
    385,176x = 717,768,172,944
  5. Step 5: Solve for x
    x = 717,768,172,944/385,176
  6. Step 6: Final answer
    x = 1,863,481.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.