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Finding the Third Proportional to 211,134 and 430,851

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Solution

The third proportional to 211,134 and 430,851 is: 879,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,134 : 430,851 = 430,851 : x
  2. Step 2: Convert to fraction form
    211,134/430,851 = 430,851/x
  3. Step 3: Cross multiply
    211,134x = 430,851 × 430,851
  4. Step 4: Simplify right side
    211,134x = 185,632,584,201
  5. Step 5: Solve for x
    x = 185,632,584,201/211,134
  6. Step 6: Final answer
    x = 879,216.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.