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Finding the Third Proportional to 297,016 and 640,400

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Solution

The third proportional to 297,016 and 640,400 is: 1,380,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,016 : 640,400 = 640,400 : x
  2. Step 2: Convert to fraction form
    297,016/640,400 = 640,400/x
  3. Step 3: Cross multiply
    297,016x = 640,400 × 640,400
  4. Step 4: Simplify right side
    297,016x = 410,112,160,000
  5. Step 5: Solve for x
    x = 410,112,160,000/297,016
  6. Step 6: Final answer
    x = 1,380,774.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.