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Finding the Third Proportional to 160,638 and 339,360

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Solution

The third proportional to 160,638 and 339,360 is: 716,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,638 : 339,360 = 339,360 : x
  2. Step 2: Convert to fraction form
    160,638/339,360 = 339,360/x
  3. Step 3: Cross multiply
    160,638x = 339,360 × 339,360
  4. Step 4: Simplify right side
    160,638x = 115,165,209,600
  5. Step 5: Solve for x
    x = 115,165,209,600/160,638
  6. Step 6: Final answer
    x = 716,923.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.