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Finding the Third Proportional to 211,164 and 330,576

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Solution

The third proportional to 211,164 and 330,576 is: 517,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,164 : 330,576 = 330,576 : x
  2. Step 2: Convert to fraction form
    211,164/330,576 = 330,576/x
  3. Step 3: Cross multiply
    211,164x = 330,576 × 330,576
  4. Step 4: Simplify right side
    211,164x = 109,280,491,776
  5. Step 5: Solve for x
    x = 109,280,491,776/211,164
  6. Step 6: Final answer
    x = 517,514.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.