Home / 30,829-67,365

Finding the Third Proportional to 30,829 and 67,365

Calculator

Solution

The third proportional to 30,829 and 67,365 is: 147,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829 : 67,365 = 67,365 : x
  2. Step 2: Convert to fraction form
    30,829/67,365 = 67,365/x
  3. Step 3: Cross multiply
    30,829x = 67,365 × 67,365
  4. Step 4: Simplify right side
    30,829x = 4,538,043,225
  5. Step 5: Solve for x
    x = 4,538,043,225/30,829
  6. Step 6: Final answer
    x = 147,200.47

Related Problems

Find third proportional to 15,414.50 and 33,682.50
Half scale
Find third proportional to 61,658 and 134,730
Double scale
Find third proportional to 30,831 and 67,369
Similar ratio
Find third proportional to 46,243.50 and 101,047.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.