Home / 137,648-210,420

Finding the Third Proportional to 137,648 and 210,420

Calculator

Solution

The third proportional to 137,648 and 210,420 is: 321,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,648 : 210,420 = 210,420 : x
  2. Step 2: Convert to fraction form
    137,648/210,420 = 210,420/x
  3. Step 3: Cross multiply
    137,648x = 210,420 × 210,420
  4. Step 4: Simplify right side
    137,648x = 44,276,576,400
  5. Step 5: Solve for x
    x = 44,276,576,400/137,648
  6. Step 6: Final answer
    x = 321,665.24

Related Problems

Find third proportional to 68,824 and 105,210
Half scale
Find third proportional to 275,296 and 420,840
Double scale
Find third proportional to 137,650 and 210,423
Similar ratio
Find third proportional to 206,472 and 315,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.