Home / 67,416-97,968

Finding the Third Proportional to 67,416 and 97,968

Calculator

Solution

The third proportional to 67,416 and 97,968 is: 142,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,416 : 97,968 = 97,968 : x
  2. Step 2: Convert to fraction form
    67,416/97,968 = 97,968/x
  3. Step 3: Cross multiply
    67,416x = 97,968 × 97,968
  4. Step 4: Simplify right side
    67,416x = 9,597,729,024
  5. Step 5: Solve for x
    x = 9,597,729,024/67,416
  6. Step 6: Final answer
    x = 142,365.74

Related Problems

Find third proportional to 33,708 and 48,984
Half scale
Find third proportional to 134,832 and 195,936
Double scale
Find third proportional to 67,418 and 97,971
Similar ratio
Find third proportional to 101,124 and 146,952
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.