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Finding the Third Proportional to 311,864 and 486,048

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Solution

The third proportional to 311,864 and 486,048 is: 757,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,864 : 486,048 = 486,048 : x
  2. Step 2: Convert to fraction form
    311,864/486,048 = 486,048/x
  3. Step 3: Cross multiply
    311,864x = 486,048 × 486,048
  4. Step 4: Simplify right side
    311,864x = 236,242,658,304
  5. Step 5: Solve for x
    x = 236,242,658,304/311,864
  6. Step 6: Final answer
    x = 757,518.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.