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Finding the Third Proportional to 311,069 and 678,433

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Solution

The third proportional to 311,069 and 678,433 is: 1,479,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 678,433 = 678,433 : x
  2. Step 2: Convert to fraction form
    311,069/678,433 = 678,433/x
  3. Step 3: Cross multiply
    311,069x = 678,433 × 678,433
  4. Step 4: Simplify right side
    311,069x = 460,271,335,489
  5. Step 5: Solve for x
    x = 460,271,335,489/311,069
  6. Step 6: Final answer
    x = 1,479,643.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.