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Finding the Third Proportional to 445,671 and 972,990

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Solution

The third proportional to 445,671 and 972,990 is: 2,124,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,671 : 972,990 = 972,990 : x
  2. Step 2: Convert to fraction form
    445,671/972,990 = 972,990/x
  3. Step 3: Cross multiply
    445,671x = 972,990 × 972,990
  4. Step 4: Simplify right side
    445,671x = 946,709,540,100
  5. Step 5: Solve for x
    x = 946,709,540,100/445,671
  6. Step 6: Final answer
    x = 2,124,234.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.