Home / 83,678-117,041

Finding the Third Proportional to 83,678 and 117,041

Calculator

Solution

The third proportional to 83,678 and 117,041 is: 163,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678 : 117,041 = 117,041 : x
  2. Step 2: Convert to fraction form
    83,678/117,041 = 117,041/x
  3. Step 3: Cross multiply
    83,678x = 117,041 × 117,041
  4. Step 4: Simplify right side
    83,678x = 13,698,595,681
  5. Step 5: Solve for x
    x = 13,698,595,681/83,678
  6. Step 6: Final answer
    x = 163,706.06

Related Problems

Find third proportional to 41,839 and 58,520.50
Half scale
Find third proportional to 167,356 and 234,082
Double scale
Find third proportional to 83,680 and 117,044
Similar ratio
Find third proportional to 125,517 and 175,561.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.