Home / 83,006-128,739

Finding the Third Proportional to 83,006 and 128,739

Calculator

Solution

The third proportional to 83,006 and 128,739 is: 199,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006 : 128,739 = 128,739 : x
  2. Step 2: Convert to fraction form
    83,006/128,739 = 128,739/x
  3. Step 3: Cross multiply
    83,006x = 128,739 × 128,739
  4. Step 4: Simplify right side
    83,006x = 16,573,730,121
  5. Step 5: Solve for x
    x = 16,573,730,121/83,006
  6. Step 6: Final answer
    x = 199,669.06

Related Problems

Find third proportional to 41,503 and 64,369.50
Half scale
Find third proportional to 166,012 and 257,478
Double scale
Find third proportional to 83,008 and 128,742
Similar ratio
Find third proportional to 124,509 and 193,108.50
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.