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Finding the Third Proportional to 421,405 and 910,161

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Solution

The third proportional to 421,405 and 910,161 is: 1,965,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,405 : 910,161 = 910,161 : x
  2. Step 2: Convert to fraction form
    421,405/910,161 = 910,161/x
  3. Step 3: Cross multiply
    421,405x = 910,161 × 910,161
  4. Step 4: Simplify right side
    421,405x = 828,393,045,921
  5. Step 5: Solve for x
    x = 828,393,045,921/421,405
  6. Step 6: Final answer
    x = 1,965,788.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.