Home / 138,734-299,320

Finding the Third Proportional to 138,734 and 299,320

Calculator

Solution

The third proportional to 138,734 and 299,320 is: 645,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,734 : 299,320 = 299,320 : x
  2. Step 2: Convert to fraction form
    138,734/299,320 = 299,320/x
  3. Step 3: Cross multiply
    138,734x = 299,320 × 299,320
  4. Step 4: Simplify right side
    138,734x = 89,592,462,400
  5. Step 5: Solve for x
    x = 89,592,462,400/138,734
  6. Step 6: Final answer
    x = 645,785.91

Related Problems

Find third proportional to 69,367 and 149,660
Half scale
Find third proportional to 277,468 and 598,640
Double scale
Find third proportional to 138,736 and 299,324
Similar ratio
Find third proportional to 208,101 and 448,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.