Home / 205,661-310,679

Finding the Third Proportional to 205,661 and 310,679

Calculator

Solution

The third proportional to 205,661 and 310,679 is: 469,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,661 : 310,679 = 310,679 : x
  2. Step 2: Convert to fraction form
    205,661/310,679 = 310,679/x
  3. Step 3: Cross multiply
    205,661x = 310,679 × 310,679
  4. Step 4: Simplify right side
    205,661x = 96,521,441,041
  5. Step 5: Solve for x
    x = 96,521,441,041/205,661
  6. Step 6: Final answer
    x = 469,323.02

Related Problems

Find third proportional to 102,830.50 and 155,339.50
Half scale
Find third proportional to 411,322 and 621,358
Double scale
Find third proportional to 205,663 and 310,682
Similar ratio
Find third proportional to 308,491.50 and 466,018.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.