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Finding the Third Proportional to 421,257 and 913,956

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Solution

The third proportional to 421,257 and 913,956 is: 1,982,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,257 : 913,956 = 913,956 : x
  2. Step 2: Convert to fraction form
    421,257/913,956 = 913,956/x
  3. Step 3: Cross multiply
    421,257x = 913,956 × 913,956
  4. Step 4: Simplify right side
    421,257x = 835,315,569,936
  5. Step 5: Solve for x
    x = 835,315,569,936/421,257
  6. Step 6: Final answer
    x = 1,982,912.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.