Home / 37,946-83,272

Finding the Third Proportional to 37,946 and 83,272

Calculator

Solution

The third proportional to 37,946 and 83,272 is: 182,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,946 : 83,272 = 83,272 : x
  2. Step 2: Convert to fraction form
    37,946/83,272 = 83,272/x
  3. Step 3: Cross multiply
    37,946x = 83,272 × 83,272
  4. Step 4: Simplify right side
    37,946x = 6,934,225,984
  5. Step 5: Solve for x
    x = 6,934,225,984/37,946
  6. Step 6: Final answer
    x = 182,739.31

Related Problems

Find third proportional to 18,973 and 41,636
Half scale
Find third proportional to 75,892 and 166,544
Double scale
Find third proportional to 37,948 and 83,276
Similar ratio
Find third proportional to 56,919 and 124,908
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.