Home / 83,580-122,170

Finding the Third Proportional to 83,580 and 122,170

Calculator

Solution

The third proportional to 83,580 and 122,170 is: 178,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,580 : 122,170 = 122,170 : x
  2. Step 2: Convert to fraction form
    83,580/122,170 = 122,170/x
  3. Step 3: Cross multiply
    83,580x = 122,170 × 122,170
  4. Step 4: Simplify right side
    83,580x = 14,925,508,900
  5. Step 5: Solve for x
    x = 14,925,508,900/83,580
  6. Step 6: Final answer
    x = 178,577.52

Related Problems

Find third proportional to 41,790 and 61,085
Half scale
Find third proportional to 167,160 and 244,340
Double scale
Find third proportional to 83,582 and 122,173
Similar ratio
Find third proportional to 125,370 and 183,255
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.