Home / 219,969-328,971.38

Finding the Third Proportional to 219,969 and 328,971.38

Calculator

Solution

The third proportional to 219,969 and 328,971.38 is: 491,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,969 : 328,971.38 = 328,971.38 : x
  2. Step 2: Convert to fraction form
    219,969/328,971.38 = 328,971.38/x
  3. Step 3: Cross multiply
    219,969x = 328,971.38 × 328,971.38
  4. Step 4: Simplify right side
    219,969x = 108,222,165,569.39
  5. Step 5: Solve for x
    x = 108,222,165,569.39/219,969
  6. Step 6: Final answer
    x = 491,988.26

Related Problems

Find third proportional to 109,984.50 and 164,485.69
Half scale
Find third proportional to 439,938 and 657,942.75
Double scale
Find third proportional to 219,971 and 328,974
Similar ratio
Find third proportional to 329,953.50 and 493,457.06
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.