Home / 205,932-377,688

Finding the Third Proportional to 205,932 and 377,688

Calculator

Solution

The third proportional to 205,932 and 377,688 is: 692,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,932 : 377,688 = 377,688 : x
  2. Step 2: Convert to fraction form
    205,932/377,688 = 377,688/x
  3. Step 3: Cross multiply
    205,932x = 377,688 × 377,688
  4. Step 4: Simplify right side
    205,932x = 142,648,225,344
  5. Step 5: Solve for x
    x = 142,648,225,344/205,932
  6. Step 6: Final answer
    x = 692,695.77

Related Problems

Find third proportional to 102,966 and 188,844
Half scale
Find third proportional to 411,864 and 755,376
Double scale
Find third proportional to 205,934 and 377,692
Similar ratio
Find third proportional to 308,898 and 566,532
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.