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Finding the Third Proportional to 211,442.50 and 440,380

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Solution

The third proportional to 211,442.50 and 440,380 is: 917,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,442.50 : 440,380 = 440,380 : x
  2. Step 2: Convert to fraction form
    211,442.50/440,380 = 440,380/x
  3. Step 3: Cross multiply
    211,442.50x = 440,380 × 440,380
  4. Step 4: Simplify right side
    211,442.50x = 193,934,544,400
  5. Step 5: Solve for x
    x = 193,934,544,400/211,442.50
  6. Step 6: Final answer
    x = 917,197.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.