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Finding the Third Proportional to 874,159 and 1,902,137

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Solution

The third proportional to 874,159 and 1,902,137 is: 4,138,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,159 : 1,902,137 = 1,902,137 : x
  2. Step 2: Convert to fraction form
    874,159/1,902,137 = 1,902,137/x
  3. Step 3: Cross multiply
    874,159x = 1,902,137 × 1,902,137
  4. Step 4: Simplify right side
    874,159x = 3,618,125,166,769
  5. Step 5: Solve for x
    x = 3,618,125,166,769/874,159
  6. Step 6: Final answer
    x = 4,138,978.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.