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Finding the Third Proportional to 902,226 and 1,878,846

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Solution

The third proportional to 902,226 and 1,878,846 is: 3,912,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,226 : 1,878,846 = 1,878,846 : x
  2. Step 2: Convert to fraction form
    902,226/1,878,846 = 1,878,846/x
  3. Step 3: Cross multiply
    902,226x = 1,878,846 × 1,878,846
  4. Step 4: Simplify right side
    902,226x = 3,530,062,291,716
  5. Step 5: Solve for x
    x = 3,530,062,291,716/902,226
  6. Step 6: Final answer
    x = 3,912,614.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.