Home / 218,720-287,196

Finding the Third Proportional to 218,720 and 287,196

Calculator

Solution

The third proportional to 218,720 and 287,196 is: 377,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,720 : 287,196 = 287,196 : x
  2. Step 2: Convert to fraction form
    218,720/287,196 = 287,196/x
  3. Step 3: Cross multiply
    218,720x = 287,196 × 287,196
  4. Step 4: Simplify right side
    218,720x = 82,481,542,416
  5. Step 5: Solve for x
    x = 82,481,542,416/218,720
  6. Step 6: Final answer
    x = 377,110.20

Related Problems

Find third proportional to 109,360 and 143,598
Half scale
Find third proportional to 437,440 and 574,392
Double scale
Find third proportional to 218,722 and 287,199
Similar ratio
Find third proportional to 328,080 and 430,794
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.