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Finding the Third Proportional to 311,860 and 407,816

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Solution

The third proportional to 311,860 and 407,816 is: 533,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860 : 407,816 = 407,816 : x
  2. Step 2: Convert to fraction form
    311,860/407,816 = 407,816/x
  3. Step 3: Cross multiply
    311,860x = 407,816 × 407,816
  4. Step 4: Simplify right side
    311,860x = 166,313,889,856
  5. Step 5: Solve for x
    x = 166,313,889,856/311,860
  6. Step 6: Final answer
    x = 533,296.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.