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Finding the Third Proportional to 311,118.47 and 678,552.19

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Solution

The third proportional to 311,118.47 and 678,552.19 is: 1,479,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,118.47 : 678,552.19 = 678,552.19 : x
  2. Step 2: Convert to fraction form
    311,118.47/678,552.19 = 678,552.19/x
  3. Step 3: Cross multiply
    311,118.47x = 678,552.19 × 678,552.19
  4. Step 4: Simplify right side
    311,118.47x = 460,433,071,161.04
  5. Step 5: Solve for x
    x = 460,433,071,161.04/311,118.47
  6. Step 6: Final answer
    x = 1,479,928.44

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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.