Home / 142,142-306,160

Finding the Third Proportional to 142,142 and 306,160

Calculator

Solution

The third proportional to 142,142 and 306,160 is: 659,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,142 : 306,160 = 306,160 : x
  2. Step 2: Convert to fraction form
    142,142/306,160 = 306,160/x
  3. Step 3: Cross multiply
    142,142x = 306,160 × 306,160
  4. Step 4: Simplify right side
    142,142x = 93,733,945,600
  5. Step 5: Solve for x
    x = 93,733,945,600/142,142
  6. Step 6: Final answer
    x = 659,438.77

Related Problems

Find third proportional to 71,071 and 153,080
Half scale
Find third proportional to 284,284 and 612,320
Double scale
Find third proportional to 142,144 and 306,164
Similar ratio
Find third proportional to 213,213 and 459,240
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.