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Finding the Third Proportional to 311,376 and 670,507.75

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Solution

The third proportional to 311,376 and 670,507.75 is: 1,443,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,376 : 670,507.75 = 670,507.75 : x
  2. Step 2: Convert to fraction form
    311,376/670,507.75 = 670,507.75/x
  3. Step 3: Cross multiply
    311,376x = 670,507.75 × 670,507.75
  4. Step 4: Simplify right side
    311,376x = 449,580,642,810.06
  5. Step 5: Solve for x
    x = 449,580,642,810.06/311,376
  6. Step 6: Final answer
    x = 1,443,851.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.