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Finding the Third Proportional to 311,816 and 445,827

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Solution

The third proportional to 311,816 and 445,827 is: 637,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,816 : 445,827 = 445,827 : x
  2. Step 2: Convert to fraction form
    311,816/445,827 = 445,827/x
  3. Step 3: Cross multiply
    311,816x = 445,827 × 445,827
  4. Step 4: Simplify right side
    311,816x = 198,761,713,929
  5. Step 5: Solve for x
    x = 198,761,713,929/311,816
  6. Step 6: Final answer
    x = 637,432.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.