Home / 49,710-106,782

Finding the Third Proportional to 49,710 and 106,782

Calculator

Solution

The third proportional to 49,710 and 106,782 is: 229,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710 : 106,782 = 106,782 : x
  2. Step 2: Convert to fraction form
    49,710/106,782 = 106,782/x
  3. Step 3: Cross multiply
    49,710x = 106,782 × 106,782
  4. Step 4: Simplify right side
    49,710x = 11,402,395,524
  5. Step 5: Solve for x
    x = 11,402,395,524/49,710
  6. Step 6: Final answer
    x = 229,378.30

Related Problems

Find third proportional to 24,855 and 53,391
Half scale
Find third proportional to 99,420 and 213,564
Double scale
Find third proportional to 49,712 and 106,786
Similar ratio
Find third proportional to 74,565 and 160,173
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.