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Finding the Third Proportional to 421,669 and 858,958

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Solution

The third proportional to 421,669 and 858,958 is: 1,749,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,669 : 858,958 = 858,958 : x
  2. Step 2: Convert to fraction form
    421,669/858,958 = 858,958/x
  3. Step 3: Cross multiply
    421,669x = 858,958 × 858,958
  4. Step 4: Simplify right side
    421,669x = 737,808,845,764
  5. Step 5: Solve for x
    x = 737,808,845,764/421,669
  6. Step 6: Final answer
    x = 1,749,734.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.