Home / 66,106-106,417

Finding the Third Proportional to 66,106 and 106,417

Calculator

Solution

The third proportional to 66,106 and 106,417 is: 171,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106 : 106,417 = 106,417 : x
  2. Step 2: Convert to fraction form
    66,106/106,417 = 106,417/x
  3. Step 3: Cross multiply
    66,106x = 106,417 × 106,417
  4. Step 4: Simplify right side
    66,106x = 11,324,577,889
  5. Step 5: Solve for x
    x = 11,324,577,889/66,106
  6. Step 6: Final answer
    x = 171,309.38

Related Problems

Find third proportional to 33,053 and 53,208.50
Half scale
Find third proportional to 132,212 and 212,834
Double scale
Find third proportional to 66,108 and 106,420
Similar ratio
Find third proportional to 99,159 and 159,625.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.