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Finding the Third Proportional to 311,943 and 677,321

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Solution

The third proportional to 311,943 and 677,321 is: 1,470,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,943 : 677,321 = 677,321 : x
  2. Step 2: Convert to fraction form
    311,943/677,321 = 677,321/x
  3. Step 3: Cross multiply
    311,943x = 677,321 × 677,321
  4. Step 4: Simplify right side
    311,943x = 458,763,737,041
  5. Step 5: Solve for x
    x = 458,763,737,041/311,943
  6. Step 6: Final answer
    x = 1,470,665.27

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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.