Home / 219,398-320,775

Finding the Third Proportional to 219,398 and 320,775

Calculator

Solution

The third proportional to 219,398 and 320,775 is: 468,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,398 : 320,775 = 320,775 : x
  2. Step 2: Convert to fraction form
    219,398/320,775 = 320,775/x
  3. Step 3: Cross multiply
    219,398x = 320,775 × 320,775
  4. Step 4: Simplify right side
    219,398x = 102,896,600,625
  5. Step 5: Solve for x
    x = 102,896,600,625/219,398
  6. Step 6: Final answer
    x = 468,995.16

Related Problems

Find third proportional to 109,699 and 160,387.50
Half scale
Find third proportional to 438,796 and 641,550
Double scale
Find third proportional to 219,400 and 320,778
Similar ratio
Find third proportional to 329,097 and 481,162.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.