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Finding the Third Proportional to 457,909 and 997,171

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Solution

The third proportional to 457,909 and 997,171 is: 2,171,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,909 : 997,171 = 997,171 : x
  2. Step 2: Convert to fraction form
    457,909/997,171 = 997,171/x
  3. Step 3: Cross multiply
    457,909x = 997,171 × 997,171
  4. Step 4: Simplify right side
    457,909x = 994,350,003,241
  5. Step 5: Solve for x
    x = 994,350,003,241/457,909
  6. Step 6: Final answer
    x = 2,171,501.33

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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.