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Finding the Third Proportional to 311,048 and 480,312

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Solution

The third proportional to 311,048 and 480,312 is: 741,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,048 : 480,312 = 480,312 : x
  2. Step 2: Convert to fraction form
    311,048/480,312 = 480,312/x
  3. Step 3: Cross multiply
    311,048x = 480,312 × 480,312
  4. Step 4: Simplify right side
    311,048x = 230,699,617,344
  5. Step 5: Solve for x
    x = 230,699,617,344/311,048
  6. Step 6: Final answer
    x = 741,684.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.