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Finding the Third Proportional to 380,844 and 902,290

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Solution

The third proportional to 380,844 and 902,290 is: 2,137,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,844 : 902,290 = 902,290 : x
  2. Step 2: Convert to fraction form
    380,844/902,290 = 902,290/x
  3. Step 3: Cross multiply
    380,844x = 902,290 × 902,290
  4. Step 4: Simplify right side
    380,844x = 814,127,244,100
  5. Step 5: Solve for x
    x = 814,127,244,100/380,844
  6. Step 6: Final answer
    x = 2,137,692.19

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.