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Finding the Third Proportional to 900,881 and 1,978,945

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Solution

The third proportional to 900,881 and 1,978,945 is: 4,347,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,881 : 1,978,945 = 1,978,945 : x
  2. Step 2: Convert to fraction form
    900,881/1,978,945 = 1,978,945/x
  3. Step 3: Cross multiply
    900,881x = 1,978,945 × 1,978,945
  4. Step 4: Simplify right side
    900,881x = 3,916,223,313,025
  5. Step 5: Solve for x
    x = 3,916,223,313,025/900,881
  6. Step 6: Final answer
    x = 4,347,103.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.