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Finding the Third Proportional to 355,169.25 and 631,449.25

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Solution

The third proportional to 355,169.25 and 631,449.25 is: 1,122,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,169.25 : 631,449.25 = 631,449.25 : x
  2. Step 2: Convert to fraction form
    355,169.25/631,449.25 = 631,449.25/x
  3. Step 3: Cross multiply
    355,169.25x = 631,449.25 × 631,449.25
  4. Step 4: Simplify right side
    355,169.25x = 398,728,155,325.56
  5. Step 5: Solve for x
    x = 398,728,155,325.56/355,169.25
  6. Step 6: Final answer
    x = 1,122,642.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.