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Finding the Third Proportional to 311,000 and 702,692

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Solution

The third proportional to 311,000 and 702,692 is: 1,587,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,000 : 702,692 = 702,692 : x
  2. Step 2: Convert to fraction form
    311,000/702,692 = 702,692/x
  3. Step 3: Cross multiply
    311,000x = 702,692 × 702,692
  4. Step 4: Simplify right side
    311,000x = 493,776,046,864
  5. Step 5: Solve for x
    x = 493,776,046,864/311,000
  6. Step 6: Final answer
    x = 1,587,704.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.