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Finding the Third Proportional to 311,835.75 and 660,479.25

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Solution

The third proportional to 311,835.75 and 660,479.25 is: 1,398,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,835.75 : 660,479.25 = 660,479.25 : x
  2. Step 2: Convert to fraction form
    311,835.75/660,479.25 = 660,479.25/x
  3. Step 3: Cross multiply
    311,835.75x = 660,479.25 × 660,479.25
  4. Step 4: Simplify right side
    311,835.75x = 436,232,839,680.56
  5. Step 5: Solve for x
    x = 436,232,839,680.56/311,835.75
  6. Step 6: Final answer
    x = 1,398,918.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.