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Finding the Third Proportional to 143,838.28 and 225,639.42

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Solution

The third proportional to 143,838.28 and 225,639.42 is: 353,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,838.28 : 225,639.42 = 225,639.42 : x
  2. Step 2: Convert to fraction form
    143,838.28/225,639.42 = 225,639.42/x
  3. Step 3: Cross multiply
    143,838.28x = 225,639.42 × 225,639.42
  4. Step 4: Simplify right side
    143,838.28x = 50,913,148,704.08
  5. Step 5: Solve for x
    x = 50,913,148,704.08/143,838.28
  6. Step 6: Final answer
    x = 353,961.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.