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Finding the Third Proportional to 297,128 and 640,458

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Solution

The third proportional to 297,128 and 640,458 is: 1,380,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,128 : 640,458 = 640,458 : x
  2. Step 2: Convert to fraction form
    297,128/640,458 = 640,458/x
  3. Step 3: Cross multiply
    297,128x = 640,458 × 640,458
  4. Step 4: Simplify right side
    297,128x = 410,186,449,764
  5. Step 5: Solve for x
    x = 410,186,449,764/297,128
  6. Step 6: Final answer
    x = 1,380,504.19

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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.