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Finding the Third Proportional to 685,170 and 1,475,100

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Solution

The third proportional to 685,170 and 1,475,100 is: 3,175,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,170 : 1,475,100 = 1,475,100 : x
  2. Step 2: Convert to fraction form
    685,170/1,475,100 = 1,475,100/x
  3. Step 3: Cross multiply
    685,170x = 1,475,100 × 1,475,100
  4. Step 4: Simplify right side
    685,170x = 2,175,920,010,000
  5. Step 5: Solve for x
    x = 2,175,920,010,000/685,170
  6. Step 6: Final answer
    x = 3,175,737.42

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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.