Home / 205,830-307,881

Finding the Third Proportional to 205,830 and 307,881

Calculator

Solution

The third proportional to 205,830 and 307,881 is: 460,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,830 : 307,881 = 307,881 : x
  2. Step 2: Convert to fraction form
    205,830/307,881 = 307,881/x
  3. Step 3: Cross multiply
    205,830x = 307,881 × 307,881
  4. Step 4: Simplify right side
    205,830x = 94,790,710,161
  5. Step 5: Solve for x
    x = 94,790,710,161/205,830
  6. Step 6: Final answer
    x = 460,529.13

Related Problems

Find third proportional to 102,915 and 153,940.50
Half scale
Find third proportional to 411,660 and 615,762
Double scale
Find third proportional to 205,832 and 307,884
Similar ratio
Find third proportional to 308,745 and 461,821.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.