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Finding the Third Proportional to 313,118 and 697,951

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Solution

The third proportional to 313,118 and 697,951 is: 1,555,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,118 : 697,951 = 697,951 : x
  2. Step 2: Convert to fraction form
    313,118/697,951 = 697,951/x
  3. Step 3: Cross multiply
    313,118x = 697,951 × 697,951
  4. Step 4: Simplify right side
    313,118x = 487,135,598,401
  5. Step 5: Solve for x
    x = 487,135,598,401/313,118
  6. Step 6: Final answer
    x = 1,555,757.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.