Home / 61,409-128,069

Finding the Third Proportional to 61,409 and 128,069

Calculator

Solution

The third proportional to 61,409 and 128,069 is: 267,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409 : 128,069 = 128,069 : x
  2. Step 2: Convert to fraction form
    61,409/128,069 = 128,069/x
  3. Step 3: Cross multiply
    61,409x = 128,069 × 128,069
  4. Step 4: Simplify right side
    61,409x = 16,401,668,761
  5. Step 5: Solve for x
    x = 16,401,668,761/61,409
  6. Step 6: Final answer
    x = 267,089.01

Related Problems

Find third proportional to 30,704.50 and 64,034.50
Half scale
Find third proportional to 122,818 and 256,138
Double scale
Find third proportional to 61,411 and 128,073
Similar ratio
Find third proportional to 92,113.50 and 192,103.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.