Home / 66,982-138,320

Finding the Third Proportional to 66,982 and 138,320

Calculator

Solution

The third proportional to 66,982 and 138,320 is: 285,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982 : 138,320 = 138,320 : x
  2. Step 2: Convert to fraction form
    66,982/138,320 = 138,320/x
  3. Step 3: Cross multiply
    66,982x = 138,320 × 138,320
  4. Step 4: Simplify right side
    66,982x = 19,132,422,400
  5. Step 5: Solve for x
    x = 19,132,422,400/66,982
  6. Step 6: Final answer
    x = 285,635.28

Related Problems

Find third proportional to 33,491 and 69,160
Half scale
Find third proportional to 133,964 and 276,640
Double scale
Find third proportional to 66,984 and 138,324
Similar ratio
Find third proportional to 100,473 and 207,480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.