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Finding the Third Proportional to 211,200 and 307,296

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Solution

The third proportional to 211,200 and 307,296 is: 447,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,200 : 307,296 = 307,296 : x
  2. Step 2: Convert to fraction form
    211,200/307,296 = 307,296/x
  3. Step 3: Cross multiply
    211,200x = 307,296 × 307,296
  4. Step 4: Simplify right side
    211,200x = 94,430,831,616
  5. Step 5: Solve for x
    x = 94,430,831,616/211,200
  6. Step 6: Final answer
    x = 447,115.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.