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Finding the Third Proportional to 447,120 and 697,896

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Solution

The third proportional to 447,120 and 697,896 is: 1,089,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,120 : 697,896 = 697,896 : x
  2. Step 2: Convert to fraction form
    447,120/697,896 = 697,896/x
  3. Step 3: Cross multiply
    447,120x = 697,896 × 697,896
  4. Step 4: Simplify right side
    447,120x = 487,058,826,816
  5. Step 5: Solve for x
    x = 487,058,826,816/447,120
  6. Step 6: Final answer
    x = 1,089,324.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.