Home / 137,752-210,708

Finding the Third Proportional to 137,752 and 210,708

Calculator

Solution

The third proportional to 137,752 and 210,708 is: 322,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,752 : 210,708 = 210,708 : x
  2. Step 2: Convert to fraction form
    137,752/210,708 = 210,708/x
  3. Step 3: Cross multiply
    137,752x = 210,708 × 210,708
  4. Step 4: Simplify right side
    137,752x = 44,397,861,264
  5. Step 5: Solve for x
    x = 44,397,861,264/137,752
  6. Step 6: Final answer
    x = 322,302.84

Related Problems

Find third proportional to 68,876 and 105,354
Half scale
Find third proportional to 275,504 and 421,416
Double scale
Find third proportional to 137,754 and 210,711
Similar ratio
Find third proportional to 206,628 and 316,062
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.