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Finding the Third Proportional to 216,513 and 311,879

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Solution

The third proportional to 216,513 and 311,879 is: 449,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,513 : 311,879 = 311,879 : x
  2. Step 2: Convert to fraction form
    216,513/311,879 = 311,879/x
  3. Step 3: Cross multiply
    216,513x = 311,879 × 311,879
  4. Step 4: Simplify right side
    216,513x = 97,268,510,641
  5. Step 5: Solve for x
    x = 97,268,510,641/216,513
  6. Step 6: Final answer
    x = 449,250.21

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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.