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Finding the Third Proportional to 379,040 and 816,400

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Solution

The third proportional to 379,040 and 816,400 is: 1,758,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,040 : 816,400 = 816,400 : x
  2. Step 2: Convert to fraction form
    379,040/816,400 = 816,400/x
  3. Step 3: Cross multiply
    379,040x = 816,400 × 816,400
  4. Step 4: Simplify right side
    379,040x = 666,508,960,000
  5. Step 5: Solve for x
    x = 666,508,960,000/379,040
  6. Step 6: Final answer
    x = 1,758,413.25

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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.