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Finding the Third Proportional to 216,056 and 311,236

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Solution

The third proportional to 216,056 and 311,236 is: 448,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,056 : 311,236 = 311,236 : x
  2. Step 2: Convert to fraction form
    216,056/311,236 = 311,236/x
  3. Step 3: Cross multiply
    216,056x = 311,236 × 311,236
  4. Step 4: Simplify right side
    216,056x = 96,867,847,696
  5. Step 5: Solve for x
    x = 96,867,847,696/216,056
  6. Step 6: Final answer
    x = 448,346.02

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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.