Home / 197,721-306,412

Finding the Third Proportional to 197,721 and 306,412

Calculator

Solution

The third proportional to 197,721 and 306,412 is: 474,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,721 : 306,412 = 306,412 : x
  2. Step 2: Convert to fraction form
    197,721/306,412 = 306,412/x
  3. Step 3: Cross multiply
    197,721x = 306,412 × 306,412
  4. Step 4: Simplify right side
    197,721x = 93,888,313,744
  5. Step 5: Solve for x
    x = 93,888,313,744/197,721
  6. Step 6: Final answer
    x = 474,852.51

Related Problems

Find third proportional to 98,860.50 and 153,206
Half scale
Find third proportional to 395,442 and 612,824
Double scale
Find third proportional to 197,723 and 306,415
Similar ratio
Find third proportional to 296,581.50 and 459,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.