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Finding the Third Proportional to 446,440.36 and 638,163.56

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Solution

The third proportional to 446,440.36 and 638,163.56 is: 912,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,440.36 : 638,163.56 = 638,163.56 : x
  2. Step 2: Convert to fraction form
    446,440.36/638,163.56 = 638,163.56/x
  3. Step 3: Cross multiply
    446,440.36x = 638,163.56 × 638,163.56
  4. Step 4: Simplify right side
    446,440.36x = 407,252,732,502.69
  5. Step 5: Solve for x
    x = 407,252,732,502.69/446,440.36
  6. Step 6: Final answer
    x = 912,222.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.