Home / 101,853-219,310

Finding the Third Proportional to 101,853 and 219,310

Calculator

Solution

The third proportional to 101,853 and 219,310 is: 472,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853 : 219,310 = 219,310 : x
  2. Step 2: Convert to fraction form
    101,853/219,310 = 219,310/x
  3. Step 3: Cross multiply
    101,853x = 219,310 × 219,310
  4. Step 4: Simplify right side
    101,853x = 48,096,876,100
  5. Step 5: Solve for x
    x = 48,096,876,100/101,853
  6. Step 6: Final answer
    x = 472,218.55

Related Problems

Find third proportional to 50,926.50 and 109,655
Half scale
Find third proportional to 203,706 and 438,620
Double scale
Find third proportional to 101,855 and 219,314
Similar ratio
Find third proportional to 152,779.50 and 328,965
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.