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Finding the Third Proportional to 297,010 and 640,388

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Solution

The third proportional to 297,010 and 640,388 is: 1,380,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,010 : 640,388 = 640,388 : x
  2. Step 2: Convert to fraction form
    297,010/640,388 = 640,388/x
  3. Step 3: Cross multiply
    297,010x = 640,388 × 640,388
  4. Step 4: Simplify right side
    297,010x = 410,096,790,544
  5. Step 5: Solve for x
    x = 410,096,790,544/297,010
  6. Step 6: Final answer
    x = 1,380,750.78

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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.