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Finding the Third Proportional to 457,901 and 997,155

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Solution

The third proportional to 457,901 and 997,155 is: 2,171,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,901 : 997,155 = 997,155 : x
  2. Step 2: Convert to fraction form
    457,901/997,155 = 997,155/x
  3. Step 3: Cross multiply
    457,901x = 997,155 × 997,155
  4. Step 4: Simplify right side
    457,901x = 994,318,094,025
  5. Step 5: Solve for x
    x = 994,318,094,025/457,901
  6. Step 6: Final answer
    x = 2,171,469.58

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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.