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Finding the Third Proportional to 311,879 and 486,989

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Solution

The third proportional to 311,879 and 486,989 is: 760,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,879 : 486,989 = 486,989 : x
  2. Step 2: Convert to fraction form
    311,879/486,989 = 486,989/x
  3. Step 3: Cross multiply
    311,879x = 486,989 × 486,989
  4. Step 4: Simplify right side
    311,879x = 237,158,286,121
  5. Step 5: Solve for x
    x = 237,158,286,121/311,879
  6. Step 6: Final answer
    x = 760,417.62

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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.