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Finding the Third Proportional to 344,640 and 744,640

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Solution

The third proportional to 344,640 and 744,640 is: 1,608,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,640 : 744,640 = 744,640 : x
  2. Step 2: Convert to fraction form
    344,640/744,640 = 744,640/x
  3. Step 3: Cross multiply
    344,640x = 744,640 × 744,640
  4. Step 4: Simplify right side
    344,640x = 554,488,729,600
  5. Step 5: Solve for x
    x = 554,488,729,600/344,640
  6. Step 6: Final answer
    x = 1,608,892.55

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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.