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Finding the Third Proportional to 493,231 and 668,400

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Solution

The third proportional to 493,231 and 668,400 is: 905,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,231 : 668,400 = 668,400 : x
  2. Step 2: Convert to fraction form
    493,231/668,400 = 668,400/x
  3. Step 3: Cross multiply
    493,231x = 668,400 × 668,400
  4. Step 4: Simplify right side
    493,231x = 446,758,560,000
  5. Step 5: Solve for x
    x = 446,758,560,000/493,231
  6. Step 6: Final answer
    x = 905,779.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.