Home / 213,970-331,323

Finding the Third Proportional to 213,970 and 331,323

Calculator

Solution

The third proportional to 213,970 and 331,323 is: 513,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,970 : 331,323 = 331,323 : x
  2. Step 2: Convert to fraction form
    213,970/331,323 = 331,323/x
  3. Step 3: Cross multiply
    213,970x = 331,323 × 331,323
  4. Step 4: Simplify right side
    213,970x = 109,774,930,329
  5. Step 5: Solve for x
    x = 109,774,930,329/213,970
  6. Step 6: Final answer
    x = 513,038.89

Related Problems

Find third proportional to 106,985 and 165,661.50
Half scale
Find third proportional to 427,940 and 662,646
Double scale
Find third proportional to 213,972 and 331,326
Similar ratio
Find third proportional to 320,955 and 496,984.50
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.