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Finding the Third Proportional to 311,194 and 678,712

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Solution

The third proportional to 311,194 and 678,712 is: 1,480,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,194 : 678,712 = 678,712 : x
  2. Step 2: Convert to fraction form
    311,194/678,712 = 678,712/x
  3. Step 3: Cross multiply
    311,194x = 678,712 × 678,712
  4. Step 4: Simplify right side
    311,194x = 460,649,978,944
  5. Step 5: Solve for x
    x = 460,649,978,944/311,194
  6. Step 6: Final answer
    x = 1,480,266.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.