Home / 461,409-988,429

Finding the Third Proportional to 461,409 and 988,429

Calculator

Solution

The third proportional to 461,409 and 988,429 is: 2,117,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,409 : 988,429 = 988,429 : x
  2. Step 2: Convert to fraction form
    461,409/988,429 = 988,429/x
  3. Step 3: Cross multiply
    461,409x = 988,429 × 988,429
  4. Step 4: Simplify right side
    461,409x = 976,991,888,041
  5. Step 5: Solve for x
    x = 976,991,888,041/461,409
  6. Step 6: Final answer
    x = 2,117,409.69

Related Problems

Find third proportional to 230,704.50 and 494,214.50
Half scale
Find third proportional to 922,818 and 1,976,858
Double scale
Find third proportional to 461,411 and 988,433
Similar ratio
Find third proportional to 692,113.50 and 1,482,643.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.