Home / 258,028-398,707

Finding the Third Proportional to 258,028 and 398,707

Calculator

Solution

The third proportional to 258,028 and 398,707 is: 616,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,028 : 398,707 = 398,707 : x
  2. Step 2: Convert to fraction form
    258,028/398,707 = 398,707/x
  3. Step 3: Cross multiply
    258,028x = 398,707 × 398,707
  4. Step 4: Simplify right side
    258,028x = 158,967,271,849
  5. Step 5: Solve for x
    x = 158,967,271,849/258,028
  6. Step 6: Final answer
    x = 616,085.35

Related Problems

Find third proportional to 129,014 and 199,353.50
Half scale
Find third proportional to 516,056 and 797,414
Double scale
Find third proportional to 258,030 and 398,710
Similar ratio
Find third proportional to 387,042 and 598,060.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.