Home / 51,984-83,718

Finding the Third Proportional to 51,984 and 83,718

Calculator

Solution

The third proportional to 51,984 and 83,718 is: 134,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984 : 83,718 = 83,718 : x
  2. Step 2: Convert to fraction form
    51,984/83,718 = 83,718/x
  3. Step 3: Cross multiply
    51,984x = 83,718 × 83,718
  4. Step 4: Simplify right side
    51,984x = 7,008,703,524
  5. Step 5: Solve for x
    x = 7,008,703,524/51,984
  6. Step 6: Final answer
    x = 134,824.24

Related Problems

Find third proportional to 25,992 and 41,859
Half scale
Find third proportional to 103,968 and 167,436
Double scale
Find third proportional to 51,986 and 83,721
Similar ratio
Find third proportional to 77,976 and 125,577
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.