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Finding the Third Proportional to 201,078 and 311,063.63

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Solution

The third proportional to 201,078 and 311,063.63 is: 481,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,078 : 311,063.63 = 311,063.63 : x
  2. Step 2: Convert to fraction form
    201,078/311,063.63 = 311,063.63/x
  3. Step 3: Cross multiply
    201,078x = 311,063.63 × 311,063.63
  4. Step 4: Simplify right side
    201,078x = 96,760,578,798.14
  5. Step 5: Solve for x
    x = 96,760,578,798.14/201,078
  6. Step 6: Final answer
    x = 481,209.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.