Home / 83,884-122,366

Finding the Third Proportional to 83,884 and 122,366

Calculator

Solution

The third proportional to 83,884 and 122,366 is: 178,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884 : 122,366 = 122,366 : x
  2. Step 2: Convert to fraction form
    83,884/122,366 = 122,366/x
  3. Step 3: Cross multiply
    83,884x = 122,366 × 122,366
  4. Step 4: Simplify right side
    83,884x = 14,973,437,956
  5. Step 5: Solve for x
    x = 14,973,437,956/83,884
  6. Step 6: Final answer
    x = 178,501.72

Related Problems

Find third proportional to 41,942 and 61,183
Half scale
Find third proportional to 167,768 and 244,732
Double scale
Find third proportional to 83,886 and 122,369
Similar ratio
Find third proportional to 125,826 and 183,549
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.