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Finding the Third Proportional to 665,205 and 996,780

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Solution

The third proportional to 665,205 and 996,780 is: 1,493,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,205 : 996,780 = 996,780 : x
  2. Step 2: Convert to fraction form
    665,205/996,780 = 996,780/x
  3. Step 3: Cross multiply
    665,205x = 996,780 × 996,780
  4. Step 4: Simplify right side
    665,205x = 993,570,368,400
  5. Step 5: Solve for x
    x = 993,570,368,400/665,205
  6. Step 6: Final answer
    x = 1,493,630.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.