Home / 66,384-140,540

Finding the Third Proportional to 66,384 and 140,540

Calculator

Solution

The third proportional to 66,384 and 140,540 is: 297,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,384 : 140,540 = 140,540 : x
  2. Step 2: Convert to fraction form
    66,384/140,540 = 140,540/x
  3. Step 3: Cross multiply
    66,384x = 140,540 × 140,540
  4. Step 4: Simplify right side
    66,384x = 19,751,491,600
  5. Step 5: Solve for x
    x = 19,751,491,600/66,384
  6. Step 6: Final answer
    x = 297,533.92

Related Problems

Find third proportional to 33,192 and 70,270
Half scale
Find third proportional to 132,768 and 281,080
Double scale
Find third proportional to 66,386 and 140,544
Similar ratio
Find third proportional to 99,576 and 210,810
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.