Home / 138,820-308,696

Finding the Third Proportional to 138,820 and 308,696

Calculator

Solution

The third proportional to 138,820 and 308,696 is: 686,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,820 : 308,696 = 308,696 : x
  2. Step 2: Convert to fraction form
    138,820/308,696 = 308,696/x
  3. Step 3: Cross multiply
    138,820x = 308,696 × 308,696
  4. Step 4: Simplify right side
    138,820x = 95,293,220,416
  5. Step 5: Solve for x
    x = 95,293,220,416/138,820
  6. Step 6: Final answer
    x = 686,451.67

Related Problems

Find third proportional to 69,410 and 154,348
Half scale
Find third proportional to 277,640 and 617,392
Double scale
Find third proportional to 138,822 and 308,700
Similar ratio
Find third proportional to 208,230 and 463,044
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.