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Finding the Third Proportional to 311,068 and 642,872

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Solution

The third proportional to 311,068 and 642,872 is: 1,328,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,068 : 642,872 = 642,872 : x
  2. Step 2: Convert to fraction form
    311,068/642,872 = 642,872/x
  3. Step 3: Cross multiply
    311,068x = 642,872 × 642,872
  4. Step 4: Simplify right side
    311,068x = 413,284,408,384
  5. Step 5: Solve for x
    x = 413,284,408,384/311,068
  6. Step 6: Final answer
    x = 1,328,598.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.