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Finding the Third Proportional to 320,072 and 697,744

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Solution

The third proportional to 320,072 and 697,744 is: 1,521,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,072 : 697,744 = 697,744 : x
  2. Step 2: Convert to fraction form
    320,072/697,744 = 697,744/x
  3. Step 3: Cross multiply
    320,072x = 697,744 × 697,744
  4. Step 4: Simplify right side
    320,072x = 486,846,689,536
  5. Step 5: Solve for x
    x = 486,846,689,536/320,072
  6. Step 6: Final answer
    x = 1,521,053.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.