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Finding the Third Proportional to 428,247 and 875,367

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Solution

The third proportional to 428,247 and 875,367 is: 1,789,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,247 : 875,367 = 875,367 : x
  2. Step 2: Convert to fraction form
    428,247/875,367 = 875,367/x
  3. Step 3: Cross multiply
    428,247x = 875,367 × 875,367
  4. Step 4: Simplify right side
    428,247x = 766,267,384,689
  5. Step 5: Solve for x
    x = 766,267,384,689/428,247
  6. Step 6: Final answer
    x = 1,789,311.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.