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Finding the Third Proportional to 297,021 and 640,410

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Solution

The third proportional to 297,021 and 640,410 is: 1,380,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,021 : 640,410 = 640,410 : x
  2. Step 2: Convert to fraction form
    297,021/640,410 = 640,410/x
  3. Step 3: Cross multiply
    297,021x = 640,410 × 640,410
  4. Step 4: Simplify right side
    297,021x = 410,124,968,100
  5. Step 5: Solve for x
    x = 410,124,968,100/297,021
  6. Step 6: Final answer
    x = 1,380,794.52

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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.