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Finding the Third Proportional to 428,472 and 876,600

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Solution

The third proportional to 428,472 and 876,600 is: 1,793,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,472 : 876,600 = 876,600 : x
  2. Step 2: Convert to fraction form
    428,472/876,600 = 876,600/x
  3. Step 3: Cross multiply
    428,472x = 876,600 × 876,600
  4. Step 4: Simplify right side
    428,472x = 768,427,560,000
  5. Step 5: Solve for x
    x = 768,427,560,000/428,472
  6. Step 6: Final answer
    x = 1,793,413.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.