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Finding the Third Proportional to 200,238.75 and 435,145.50

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Solution

The third proportional to 200,238.75 and 435,145.50 is: 945,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,238.75 : 435,145.50 = 435,145.50 : x
  2. Step 2: Convert to fraction form
    200,238.75/435,145.50 = 435,145.50/x
  3. Step 3: Cross multiply
    200,238.75x = 435,145.50 × 435,145.50
  4. Step 4: Simplify right side
    200,238.75x = 189,351,606,170.25
  5. Step 5: Solve for x
    x = 189,351,606,170.25/200,238.75
  6. Step 6: Final answer
    x = 945,629.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.