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Finding the Third Proportional to 451,645.50 and 664,993.50

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Solution

The third proportional to 451,645.50 and 664,993.50 is: 979,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,645.50 : 664,993.50 = 664,993.50 : x
  2. Step 2: Convert to fraction form
    451,645.50/664,993.50 = 664,993.50/x
  3. Step 3: Cross multiply
    451,645.50x = 664,993.50 × 664,993.50
  4. Step 4: Simplify right side
    451,645.50x = 442,216,355,042.25
  5. Step 5: Solve for x
    x = 442,216,355,042.25/451,645.50
  6. Step 6: Final answer
    x = 979,122.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.