Home / 67,311-97,834

Finding the Third Proportional to 67,311 and 97,834

Calculator

Solution

The third proportional to 67,311 and 97,834 is: 142,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,311 : 97,834 = 97,834 : x
  2. Step 2: Convert to fraction form
    67,311/97,834 = 97,834/x
  3. Step 3: Cross multiply
    67,311x = 97,834 × 97,834
  4. Step 4: Simplify right side
    67,311x = 9,571,491,556
  5. Step 5: Solve for x
    x = 9,571,491,556/67,311
  6. Step 6: Final answer
    x = 142,198.03

Related Problems

Find third proportional to 33,655.50 and 48,917
Half scale
Find third proportional to 134,622 and 195,668
Double scale
Find third proportional to 67,313 and 97,837
Similar ratio
Find third proportional to 100,966.50 and 146,751
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.