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Finding the Third Proportional to 211,554 and 305,680.50

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Solution

The third proportional to 211,554 and 305,680.50 is: 441,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,554 : 305,680.50 = 305,680.50 : x
  2. Step 2: Convert to fraction form
    211,554/305,680.50 = 305,680.50/x
  3. Step 3: Cross multiply
    211,554x = 305,680.50 × 305,680.50
  4. Step 4: Simplify right side
    211,554x = 93,440,568,080.25
  5. Step 5: Solve for x
    x = 93,440,568,080.25/211,554
  6. Step 6: Final answer
    x = 441,686.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.