Home / 83,994-121,023

Finding the Third Proportional to 83,994 and 121,023

Calculator

Solution

The third proportional to 83,994 and 121,023 is: 174,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,994 : 121,023 = 121,023 : x
  2. Step 2: Convert to fraction form
    83,994/121,023 = 121,023/x
  3. Step 3: Cross multiply
    83,994x = 121,023 × 121,023
  4. Step 4: Simplify right side
    83,994x = 14,646,566,529
  5. Step 5: Solve for x
    x = 14,646,566,529/83,994
  6. Step 6: Final answer
    x = 174,376.34

Related Problems

Find third proportional to 41,997 and 60,511.50
Half scale
Find third proportional to 167,988 and 242,046
Double scale
Find third proportional to 83,996 and 121,026
Similar ratio
Find third proportional to 125,991 and 181,534.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.