Home / 414,734-909,820

Finding the Third Proportional to 414,734 and 909,820

Calculator

Solution

The third proportional to 414,734 and 909,820 is: 1,995,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,734 : 909,820 = 909,820 : x
  2. Step 2: Convert to fraction form
    414,734/909,820 = 909,820/x
  3. Step 3: Cross multiply
    414,734x = 909,820 × 909,820
  4. Step 4: Simplify right side
    414,734x = 827,772,432,400
  5. Step 5: Solve for x
    x = 827,772,432,400/414,734
  6. Step 6: Final answer
    x = 1,995,911.67

Related Problems

Find third proportional to 207,367 and 454,910
Half scale
Find third proportional to 829,468 and 1,819,640
Double scale
Find third proportional to 414,736 and 909,824
Similar ratio
Find third proportional to 622,101 and 1,364,730
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.