Home / 51,409-119,006

Finding the Third Proportional to 51,409 and 119,006

Calculator

Solution

The third proportional to 51,409 and 119,006 is: 275,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,409 : 119,006 = 119,006 : x
  2. Step 2: Convert to fraction form
    51,409/119,006 = 119,006/x
  3. Step 3: Cross multiply
    51,409x = 119,006 × 119,006
  4. Step 4: Simplify right side
    51,409x = 14,162,428,036
  5. Step 5: Solve for x
    x = 14,162,428,036/51,409
  6. Step 6: Final answer
    x = 275,485.38

Related Problems

Find third proportional to 25,704.50 and 59,503
Half scale
Find third proportional to 102,818 and 238,012
Double scale
Find third proportional to 51,411 and 119,011
Similar ratio
Find third proportional to 77,113.50 and 178,509
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.