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Finding the Third Proportional to 323,140 and 690,268

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Solution

The third proportional to 323,140 and 690,268 is: 1,474,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,140 : 690,268 = 690,268 : x
  2. Step 2: Convert to fraction form
    323,140/690,268 = 690,268/x
  3. Step 3: Cross multiply
    323,140x = 690,268 × 690,268
  4. Step 4: Simplify right side
    323,140x = 476,469,911,824
  5. Step 5: Solve for x
    x = 476,469,911,824/323,140
  6. Step 6: Final answer
    x = 1,474,499.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.