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Finding the Third Proportional to 311,541.75 and 675,571.50

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Solution

The third proportional to 311,541.75 and 675,571.50 is: 1,464,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541.75 : 675,571.50 = 675,571.50 : x
  2. Step 2: Convert to fraction form
    311,541.75/675,571.50 = 675,571.50/x
  3. Step 3: Cross multiply
    311,541.75x = 675,571.50 × 675,571.50
  4. Step 4: Simplify right side
    311,541.75x = 456,396,851,612.25
  5. Step 5: Solve for x
    x = 456,396,851,612.25/311,541.75
  6. Step 6: Final answer
    x = 1,464,962.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.