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Finding the Third Proportional to 206,989.50 and 311,511

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Solution

The third proportional to 206,989.50 and 311,511 is: 468,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,989.50 : 311,511 = 311,511 : x
  2. Step 2: Convert to fraction form
    206,989.50/311,511 = 311,511/x
  3. Step 3: Cross multiply
    206,989.50x = 311,511 × 311,511
  4. Step 4: Simplify right side
    206,989.50x = 97,039,103,121
  5. Step 5: Solve for x
    x = 97,039,103,121/206,989.50
  6. Step 6: Final answer
    x = 468,811.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.