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Finding the Third Proportional to 311,218 and 678,764

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Solution

The third proportional to 311,218 and 678,764 is: 1,480,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,218 : 678,764 = 678,764 : x
  2. Step 2: Convert to fraction form
    311,218/678,764 = 678,764/x
  3. Step 3: Cross multiply
    311,218x = 678,764 × 678,764
  4. Step 4: Simplify right side
    311,218x = 460,720,567,696
  5. Step 5: Solve for x
    x = 460,720,567,696/311,218
  6. Step 6: Final answer
    x = 1,480,378.92

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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.