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Finding the Third Proportional to 311,941 and 472,314

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Solution

The third proportional to 311,941 and 472,314 is: 715,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941 : 472,314 = 472,314 : x
  2. Step 2: Convert to fraction form
    311,941/472,314 = 472,314/x
  3. Step 3: Cross multiply
    311,941x = 472,314 × 472,314
  4. Step 4: Simplify right side
    311,941x = 223,080,514,596
  5. Step 5: Solve for x
    x = 223,080,514,596/311,941
  6. Step 6: Final answer
    x = 715,136.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.