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Finding the Third Proportional to 311,019.75 and 678,314.25

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Solution

The third proportional to 311,019.75 and 678,314.25 is: 1,479,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,019.75 : 678,314.25 = 678,314.25 : x
  2. Step 2: Convert to fraction form
    311,019.75/678,314.25 = 678,314.25/x
  3. Step 3: Cross multiply
    311,019.75x = 678,314.25 × 678,314.25
  4. Step 4: Simplify right side
    311,019.75x = 460,110,221,753.06
  5. Step 5: Solve for x
    x = 460,110,221,753.06/311,019.75
  6. Step 6: Final answer
    x = 1,479,360.14

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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.