Home / 213,462-334,845

Finding the Third Proportional to 213,462 and 334,845

Calculator

Solution

The third proportional to 213,462 and 334,845 is: 525,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,462 : 334,845 = 334,845 : x
  2. Step 2: Convert to fraction form
    213,462/334,845 = 334,845/x
  3. Step 3: Cross multiply
    213,462x = 334,845 × 334,845
  4. Step 4: Simplify right side
    213,462x = 112,121,174,025
  5. Step 5: Solve for x
    x = 112,121,174,025/213,462
  6. Step 6: Final answer
    x = 525,251.21

Related Problems

Find third proportional to 106,731 and 167,422.50
Half scale
Find third proportional to 426,924 and 669,690
Double scale
Find third proportional to 213,464 and 334,848
Similar ratio
Find third proportional to 320,193 and 502,267.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.