Home / 35,974-84,024

Finding the Third Proportional to 35,974 and 84,024

Calculator

Solution

The third proportional to 35,974 and 84,024 is: 196,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974 : 84,024 = 84,024 : x
  2. Step 2: Convert to fraction form
    35,974/84,024 = 84,024/x
  3. Step 3: Cross multiply
    35,974x = 84,024 × 84,024
  4. Step 4: Simplify right side
    35,974x = 7,060,032,576
  5. Step 5: Solve for x
    x = 7,060,032,576/35,974
  6. Step 6: Final answer
    x = 196,253.75

Related Problems

Find third proportional to 17,987 and 42,012
Half scale
Find third proportional to 71,948 and 168,048
Double scale
Find third proportional to 35,976 and 84,029
Similar ratio
Find third proportional to 53,961 and 126,036
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.