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Finding the Third Proportional to 412,040 and 902,800

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Solution

The third proportional to 412,040 and 902,800 is: 1,978,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,040 : 902,800 = 902,800 : x
  2. Step 2: Convert to fraction form
    412,040/902,800 = 902,800/x
  3. Step 3: Cross multiply
    412,040x = 902,800 × 902,800
  4. Step 4: Simplify right side
    412,040x = 815,047,840,000
  5. Step 5: Solve for x
    x = 815,047,840,000/412,040
  6. Step 6: Final answer
    x = 1,978,079.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.