Home / 66,538-97,856

Finding the Third Proportional to 66,538 and 97,856

Calculator

Solution

The third proportional to 66,538 and 97,856 is: 143,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 97,856 = 97,856 : x
  2. Step 2: Convert to fraction form
    66,538/97,856 = 97,856/x
  3. Step 3: Cross multiply
    66,538x = 97,856 × 97,856
  4. Step 4: Simplify right side
    66,538x = 9,575,796,736
  5. Step 5: Solve for x
    x = 9,575,796,736/66,538
  6. Step 6: Final answer
    x = 143,914.71

Related Problems

Find third proportional to 33,269 and 48,928
Half scale
Find third proportional to 133,076 and 195,712
Double scale
Find third proportional to 66,540 and 97,859
Similar ratio
Find third proportional to 99,807 and 146,784
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.