Home / 109,734-256,407

Finding the Third Proportional to 109,734 and 256,407

Calculator

Solution

The third proportional to 109,734 and 256,407 is: 599,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734 : 256,407 = 256,407 : x
  2. Step 2: Convert to fraction form
    109,734/256,407 = 256,407/x
  3. Step 3: Cross multiply
    109,734x = 256,407 × 256,407
  4. Step 4: Simplify right side
    109,734x = 65,744,549,649
  5. Step 5: Solve for x
    x = 65,744,549,649/109,734
  6. Step 6: Final answer
    x = 599,126.52

Related Problems

Find third proportional to 54,867 and 128,203.50
Half scale
Find third proportional to 219,468 and 512,814
Double scale
Find third proportional to 109,736 and 256,412
Similar ratio
Find third proportional to 164,601 and 384,610.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.