Home / 83,946-180,312

Finding the Third Proportional to 83,946 and 180,312

Calculator

Solution

The third proportional to 83,946 and 180,312 is: 387,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,946 : 180,312 = 180,312 : x
  2. Step 2: Convert to fraction form
    83,946/180,312 = 180,312/x
  3. Step 3: Cross multiply
    83,946x = 180,312 × 180,312
  4. Step 4: Simplify right side
    83,946x = 32,512,417,344
  5. Step 5: Solve for x
    x = 32,512,417,344/83,946
  6. Step 6: Final answer
    x = 387,301.57

Related Problems

Find third proportional to 41,973 and 90,156
Half scale
Find third proportional to 167,892 and 360,624
Double scale
Find third proportional to 83,948 and 180,316
Similar ratio
Find third proportional to 125,919 and 270,468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.