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Finding the Third Proportional to 311,870 and 486,057

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Solution

The third proportional to 311,870 and 486,057 is: 757,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,870 : 486,057 = 486,057 : x
  2. Step 2: Convert to fraction form
    311,870/486,057 = 486,057/x
  3. Step 3: Cross multiply
    311,870x = 486,057 × 486,057
  4. Step 4: Simplify right side
    311,870x = 236,251,407,249
  5. Step 5: Solve for x
    x = 236,251,407,249/311,870
  6. Step 6: Final answer
    x = 757,531.69

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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.