Home / 676-998

Finding the Third Proportional to 676 and 998

Calculator

Solution

The third proportional to 676 and 998 is: 1,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 998 = 998 : x
  2. Step 2: Convert to fraction form
    676/998 = 998/x
  3. Step 3: Cross multiply
    676x = 998 × 998
  4. Step 4: Simplify right side
    676x = 996,004
  5. Step 5: Solve for x
    x = 996,004/676
  6. Step 6: Final answer
    x = 1,473.38

Related Problems

Find third proportional to 338 and 499
Half scale
Find third proportional to 1,352 and 1,996
Double scale
Find third proportional to 678 and 1,001
Similar ratio
Find third proportional to 1,014 and 1,497
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.