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Finding the Third Proportional to 425,823 and 667,990.50

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Solution

The third proportional to 425,823 and 667,990.50 is: 1,047,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,823 : 667,990.50 = 667,990.50 : x
  2. Step 2: Convert to fraction form
    425,823/667,990.50 = 667,990.50/x
  3. Step 3: Cross multiply
    425,823x = 667,990.50 × 667,990.50
  4. Step 4: Simplify right side
    425,823x = 446,211,308,090.25
  5. Step 5: Solve for x
    x = 446,211,308,090.25/425,823
  6. Step 6: Final answer
    x = 1,047,879.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.