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Finding the Third Proportional to 203,516.30 and 447,628.78

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Solution

The third proportional to 203,516.30 and 447,628.78 is: 984,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,516.30 : 447,628.78 = 447,628.78 : x
  2. Step 2: Convert to fraction form
    203,516.30/447,628.78 = 447,628.78/x
  3. Step 3: Cross multiply
    203,516.30x = 447,628.78 × 447,628.78
  4. Step 4: Simplify right side
    203,516.30x = 200,371,525,803.36
  5. Step 5: Solve for x
    x = 200,371,525,803.36/203,516.30
  6. Step 6: Final answer
    x = 984,547.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.