Home / 205,660-310,677

Finding the Third Proportional to 205,660 and 310,677

Calculator

Solution

The third proportional to 205,660 and 310,677 is: 469,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,660 : 310,677 = 310,677 : x
  2. Step 2: Convert to fraction form
    205,660/310,677 = 310,677/x
  3. Step 3: Cross multiply
    205,660x = 310,677 × 310,677
  4. Step 4: Simplify right side
    205,660x = 96,520,198,329
  5. Step 5: Solve for x
    x = 96,520,198,329/205,660
  6. Step 6: Final answer
    x = 469,319.26

Related Problems

Find third proportional to 102,830 and 155,338.50
Half scale
Find third proportional to 411,320 and 621,354
Double scale
Find third proportional to 205,662 and 310,680
Similar ratio
Find third proportional to 308,490 and 466,015.50
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.