Home / 156,384-258,838

Finding the Third Proportional to 156,384 and 258,838

Calculator

Solution

The third proportional to 156,384 and 258,838 is: 428,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,384 : 258,838 = 258,838 : x
  2. Step 2: Convert to fraction form
    156,384/258,838 = 258,838/x
  3. Step 3: Cross multiply
    156,384x = 258,838 × 258,838
  4. Step 4: Simplify right side
    156,384x = 66,997,110,244
  5. Step 5: Solve for x
    x = 66,997,110,244/156,384
  6. Step 6: Final answer
    x = 428,414.10

Related Problems

Find third proportional to 78,192 and 129,419
Half scale
Find third proportional to 312,768 and 517,676
Double scale
Find third proportional to 156,386 and 258,841
Similar ratio
Find third proportional to 234,576 and 388,257
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.