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Finding the Third Proportional to 670,738 and 996,989

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Solution

The third proportional to 670,738 and 996,989 is: 1,481,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,738 : 996,989 = 996,989 : x
  2. Step 2: Convert to fraction form
    670,738/996,989 = 996,989/x
  3. Step 3: Cross multiply
    670,738x = 996,989 × 996,989
  4. Step 4: Simplify right side
    670,738x = 993,987,066,121
  5. Step 5: Solve for x
    x = 993,987,066,121/670,738
  6. Step 6: Final answer
    x = 1,481,930.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.