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Finding the Third Proportional to 311,168 and 482,752

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Solution

The third proportional to 311,168 and 482,752 is: 748,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,168 : 482,752 = 482,752 : x
  2. Step 2: Convert to fraction form
    311,168/482,752 = 482,752/x
  3. Step 3: Cross multiply
    311,168x = 482,752 × 482,752
  4. Step 4: Simplify right side
    311,168x = 233,049,493,504
  5. Step 5: Solve for x
    x = 233,049,493,504/311,168
  6. Step 6: Final answer
    x = 748,950.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.