Home / 82,032-117,306

Finding the Third Proportional to 82,032 and 117,306

Calculator

Solution

The third proportional to 82,032 and 117,306 is: 167,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032 : 117,306 = 117,306 : x
  2. Step 2: Convert to fraction form
    82,032/117,306 = 117,306/x
  3. Step 3: Cross multiply
    82,032x = 117,306 × 117,306
  4. Step 4: Simplify right side
    82,032x = 13,760,697,636
  5. Step 5: Solve for x
    x = 13,760,697,636/82,032
  6. Step 6: Final answer
    x = 167,747.92

Related Problems

Find third proportional to 41,016 and 58,653
Half scale
Find third proportional to 164,064 and 234,612
Double scale
Find third proportional to 82,034 and 117,309
Similar ratio
Find third proportional to 123,048 and 175,959
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.