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Finding the Third Proportional to 457,981 and 997,322

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Solution

The third proportional to 457,981 and 997,322 is: 2,171,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,981 : 997,322 = 997,322 : x
  2. Step 2: Convert to fraction form
    457,981/997,322 = 997,322/x
  3. Step 3: Cross multiply
    457,981x = 997,322 × 997,322
  4. Step 4: Simplify right side
    457,981x = 994,651,171,684
  5. Step 5: Solve for x
    x = 994,651,171,684/457,981
  6. Step 6: Final answer
    x = 2,171,817.55

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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.