Home / 81,677-128,354

Finding the Third Proportional to 81,677 and 128,354

Calculator

Solution

The third proportional to 81,677 and 128,354 is: 201,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,677 : 128,354 = 128,354 : x
  2. Step 2: Convert to fraction form
    81,677/128,354 = 128,354/x
  3. Step 3: Cross multiply
    81,677x = 128,354 × 128,354
  4. Step 4: Simplify right side
    81,677x = 16,474,749,316
  5. Step 5: Solve for x
    x = 16,474,749,316/81,677
  6. Step 6: Final answer
    x = 201,706.10

Related Problems

Find third proportional to 40,838.50 and 64,177
Half scale
Find third proportional to 163,354 and 256,708
Double scale
Find third proportional to 81,679 and 128,357
Similar ratio
Find third proportional to 122,515.50 and 192,531
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.