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Finding the Third Proportional to 640,128 and 1,379,400

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Solution

The third proportional to 640,128 and 1,379,400 is: 2,972,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,128 : 1,379,400 = 1,379,400 : x
  2. Step 2: Convert to fraction form
    640,128/1,379,400 = 1,379,400/x
  3. Step 3: Cross multiply
    640,128x = 1,379,400 × 1,379,400
  4. Step 4: Simplify right side
    640,128x = 1,902,744,360,000
  5. Step 5: Solve for x
    x = 1,902,744,360,000/640,128
  6. Step 6: Final answer
    x = 2,972,443.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.