Home / 213,968-331,320

Finding the Third Proportional to 213,968 and 331,320

Calculator

Solution

The third proportional to 213,968 and 331,320 is: 513,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,968 : 331,320 = 331,320 : x
  2. Step 2: Convert to fraction form
    213,968/331,320 = 331,320/x
  3. Step 3: Cross multiply
    213,968x = 331,320 × 331,320
  4. Step 4: Simplify right side
    213,968x = 109,772,942,400
  5. Step 5: Solve for x
    x = 109,772,942,400/213,968
  6. Step 6: Final answer
    x = 513,034.39

Related Problems

Find third proportional to 106,984 and 165,660
Half scale
Find third proportional to 427,936 and 662,640
Double scale
Find third proportional to 213,970 and 331,323
Similar ratio
Find third proportional to 320,952 and 496,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.