Home / 82,914-129,702

Finding the Third Proportional to 82,914 and 129,702

Calculator

Solution

The third proportional to 82,914 and 129,702 is: 202,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914 : 129,702 = 129,702 : x
  2. Step 2: Convert to fraction form
    82,914/129,702 = 129,702/x
  3. Step 3: Cross multiply
    82,914x = 129,702 × 129,702
  4. Step 4: Simplify right side
    82,914x = 16,822,608,804
  5. Step 5: Solve for x
    x = 16,822,608,804/82,914
  6. Step 6: Final answer
    x = 202,892.26

Related Problems

Find third proportional to 41,457 and 64,851
Half scale
Find third proportional to 165,828 and 259,404
Double scale
Find third proportional to 82,916 and 129,705
Similar ratio
Find third proportional to 124,371 and 194,553
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.