Home / 100,221-215,992.50

Finding the Third Proportional to 100,221 and 215,992.50

Calculator

Solution

The third proportional to 100,221 and 215,992.50 is: 465,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,221 : 215,992.50 = 215,992.50 : x
  2. Step 2: Convert to fraction form
    100,221/215,992.50 = 215,992.50/x
  3. Step 3: Cross multiply
    100,221x = 215,992.50 × 215,992.50
  4. Step 4: Simplify right side
    100,221x = 46,652,760,056.25
  5. Step 5: Solve for x
    x = 46,652,760,056.25/100,221
  6. Step 6: Final answer
    x = 465,498.85

Related Problems

Find third proportional to 50,110.50 and 107,996.25
Half scale
Find third proportional to 200,442 and 431,985
Double scale
Find third proportional to 100,223 and 215,997
Similar ratio
Find third proportional to 150,331.50 and 323,988.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.