Home / 120,221-257,119

Finding the Third Proportional to 120,221 and 257,119

Calculator

Solution

The third proportional to 120,221 and 257,119 is: 549,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,221 : 257,119 = 257,119 : x
  2. Step 2: Convert to fraction form
    120,221/257,119 = 257,119/x
  3. Step 3: Cross multiply
    120,221x = 257,119 × 257,119
  4. Step 4: Simplify right side
    120,221x = 66,110,180,161
  5. Step 5: Solve for x
    x = 66,110,180,161/120,221
  6. Step 6: Final answer
    x = 549,905.43

Related Problems

Find third proportional to 60,110.50 and 128,559.50
Half scale
Find third proportional to 240,442 and 514,238
Double scale
Find third proportional to 120,223 and 257,123
Similar ratio
Find third proportional to 180,331.50 and 385,678.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.