Home / 66,682-103,380

Finding the Third Proportional to 66,682 and 103,380

Calculator

Solution

The third proportional to 66,682 and 103,380 is: 160,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,682 : 103,380 = 103,380 : x
  2. Step 2: Convert to fraction form
    66,682/103,380 = 103,380/x
  3. Step 3: Cross multiply
    66,682x = 103,380 × 103,380
  4. Step 4: Simplify right side
    66,682x = 10,687,424,400
  5. Step 5: Solve for x
    x = 10,687,424,400/66,682
  6. Step 6: Final answer
    x = 160,274.50

Related Problems

Find third proportional to 33,341 and 51,690
Half scale
Find third proportional to 133,364 and 206,760
Double scale
Find third proportional to 66,684 and 103,383
Similar ratio
Find third proportional to 100,023 and 155,070
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.