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Finding the Third Proportional to 3,177,800 and 4,080,210

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Solution

The third proportional to 3,177,800 and 4,080,210 is: 5,238,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,800 : 4,080,210 = 4,080,210 : x
  2. Step 2: Convert to fraction form
    3,177,800/4,080,210 = 4,080,210/x
  3. Step 3: Cross multiply
    3,177,800x = 4,080,210 × 4,080,210
  4. Step 4: Simplify right side
    3,177,800x = 16,648,113,644,100
  5. Step 5: Solve for x
    x = 16,648,113,644,100/3,177,800
  6. Step 6: Final answer
    x = 5,238,880.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.