Home / 120,074-277,948

Finding the Third Proportional to 120,074 and 277,948

Calculator

Solution

The third proportional to 120,074 and 277,948 is: 643,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,074 : 277,948 = 277,948 : x
  2. Step 2: Convert to fraction form
    120,074/277,948 = 277,948/x
  3. Step 3: Cross multiply
    120,074x = 277,948 × 277,948
  4. Step 4: Simplify right side
    120,074x = 77,255,090,704
  5. Step 5: Solve for x
    x = 77,255,090,704/120,074
  6. Step 6: Final answer
    x = 643,395.66

Related Problems

Find third proportional to 60,037 and 138,974
Half scale
Find third proportional to 240,148 and 555,896
Double scale
Find third proportional to 120,076 and 277,953
Similar ratio
Find third proportional to 180,111 and 416,922
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.