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Finding the Third Proportional to 216,059.25 and 311,219.25

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Solution

The third proportional to 216,059.25 and 311,219.25 is: 448,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,059.25 : 311,219.25 = 311,219.25 : x
  2. Step 2: Convert to fraction form
    216,059.25/311,219.25 = 311,219.25/x
  3. Step 3: Cross multiply
    216,059.25x = 311,219.25 × 311,219.25
  4. Step 4: Simplify right side
    216,059.25x = 96,857,421,570.56
  5. Step 5: Solve for x
    x = 96,857,421,570.56/216,059.25
  6. Step 6: Final answer
    x = 448,291.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.