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Finding the Third Proportional to 339,360 and 670,154.25

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Solution

The third proportional to 339,360 and 670,154.25 is: 1,323,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,360 : 670,154.25 = 670,154.25 : x
  2. Step 2: Convert to fraction form
    339,360/670,154.25 = 670,154.25/x
  3. Step 3: Cross multiply
    339,360x = 670,154.25 × 670,154.25
  4. Step 4: Simplify right side
    339,360x = 449,106,718,793.06
  5. Step 5: Solve for x
    x = 449,106,718,793.06/339,360
  6. Step 6: Final answer
    x = 1,323,393.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.