Home / 82,782-128,154

Finding the Third Proportional to 82,782 and 128,154

Calculator

Solution

The third proportional to 82,782 and 128,154 is: 198,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782 : 128,154 = 128,154 : x
  2. Step 2: Convert to fraction form
    82,782/128,154 = 128,154/x
  3. Step 3: Cross multiply
    82,782x = 128,154 × 128,154
  4. Step 4: Simplify right side
    82,782x = 16,423,447,716
  5. Step 5: Solve for x
    x = 16,423,447,716/82,782
  6. Step 6: Final answer
    x = 198,393.95

Related Problems

Find third proportional to 41,391 and 64,077
Half scale
Find third proportional to 165,564 and 256,308
Double scale
Find third proportional to 82,784 and 128,157
Similar ratio
Find third proportional to 124,173 and 192,231
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.