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Finding the Third Proportional to 311,859 and 407,815.50

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Solution

The third proportional to 311,859 and 407,815.50 is: 533,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,859 : 407,815.50 = 407,815.50 : x
  2. Step 2: Convert to fraction form
    311,859/407,815.50 = 407,815.50/x
  3. Step 3: Cross multiply
    311,859x = 407,815.50 × 407,815.50
  4. Step 4: Simplify right side
    311,859x = 166,313,482,040.25
  5. Step 5: Solve for x
    x = 166,313,482,040.25/311,859
  6. Step 6: Final answer
    x = 533,297.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.