Home / 84,684-129,942

Finding the Third Proportional to 84,684 and 129,942

Calculator

Solution

The third proportional to 84,684 and 129,942 is: 199,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684 : 129,942 = 129,942 : x
  2. Step 2: Convert to fraction form
    84,684/129,942 = 129,942/x
  3. Step 3: Cross multiply
    84,684x = 129,942 × 129,942
  4. Step 4: Simplify right side
    84,684x = 16,884,923,364
  5. Step 5: Solve for x
    x = 16,884,923,364/84,684
  6. Step 6: Final answer
    x = 199,387.41

Related Problems

Find third proportional to 42,342 and 64,971
Half scale
Find third proportional to 169,368 and 259,884
Double scale
Find third proportional to 84,686 and 129,945
Similar ratio
Find third proportional to 127,026 and 194,913
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.