Home / 209,400-465,240

Finding the Third Proportional to 209,400 and 465,240

Calculator

Solution

The third proportional to 209,400 and 465,240 is: 1,033,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,400 : 465,240 = 465,240 : x
  2. Step 2: Convert to fraction form
    209,400/465,240 = 465,240/x
  3. Step 3: Cross multiply
    209,400x = 465,240 × 465,240
  4. Step 4: Simplify right side
    209,400x = 216,448,257,600
  5. Step 5: Solve for x
    x = 216,448,257,600/209,400
  6. Step 6: Final answer
    x = 1,033,659.30

Related Problems

Find third proportional to 104,700 and 232,620
Half scale
Find third proportional to 418,800 and 930,480
Double scale
Find third proportional to 209,402 and 465,244
Similar ratio
Find third proportional to 314,100 and 697,860
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.