Home / 36,047-82,970

Finding the Third Proportional to 36,047 and 82,970

Calculator

Solution

The third proportional to 36,047 and 82,970 is: 190,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,047 : 82,970 = 82,970 : x
  2. Step 2: Convert to fraction form
    36,047/82,970 = 82,970/x
  3. Step 3: Cross multiply
    36,047x = 82,970 × 82,970
  4. Step 4: Simplify right side
    36,047x = 6,884,020,900
  5. Step 5: Solve for x
    x = 6,884,020,900/36,047
  6. Step 6: Final answer
    x = 190,973.48

Related Problems

Find third proportional to 18,023.50 and 41,485
Half scale
Find third proportional to 72,094 and 165,940
Double scale
Find third proportional to 36,049 and 82,975
Similar ratio
Find third proportional to 54,070.50 and 124,455
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.