Home / 133,091-191,309

Finding the Third Proportional to 133,091 and 191,309

Calculator

Solution

The third proportional to 133,091 and 191,309 is: 274,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091 : 191,309 = 191,309 : x
  2. Step 2: Convert to fraction form
    133,091/191,309 = 191,309/x
  3. Step 3: Cross multiply
    133,091x = 191,309 × 191,309
  4. Step 4: Simplify right side
    133,091x = 36,599,133,481
  5. Step 5: Solve for x
    x = 36,599,133,481/133,091
  6. Step 6: Final answer
    x = 274,993.30

Related Problems

Find third proportional to 66,545.50 and 95,654.50
Half scale
Find third proportional to 266,182 and 382,618
Double scale
Find third proportional to 133,093 and 191,312
Similar ratio
Find third proportional to 199,636.50 and 286,963.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.