Home / 448,191-967,689

Finding the Third Proportional to 448,191 and 967,689

Calculator

Solution

The third proportional to 448,191 and 967,689 is: 2,089,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,191 : 967,689 = 967,689 : x
  2. Step 2: Convert to fraction form
    448,191/967,689 = 967,689/x
  3. Step 3: Cross multiply
    448,191x = 967,689 × 967,689
  4. Step 4: Simplify right side
    448,191x = 936,422,000,721
  5. Step 5: Solve for x
    x = 936,422,000,721/448,191
  6. Step 6: Final answer
    x = 2,089,336.91

Related Problems

Find third proportional to 224,095.50 and 483,844.50
Half scale
Find third proportional to 896,382 and 1,935,378
Double scale
Find third proportional to 448,193 and 967,693
Similar ratio
Find third proportional to 672,286.50 and 1,451,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.