Home / 106,107-165,618

Finding the Third Proportional to 106,107 and 165,618

Calculator

Solution

The third proportional to 106,107 and 165,618 is: 258,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,107 : 165,618 = 165,618 : x
  2. Step 2: Convert to fraction form
    106,107/165,618 = 165,618/x
  3. Step 3: Cross multiply
    106,107x = 165,618 × 165,618
  4. Step 4: Simplify right side
    106,107x = 27,429,321,924
  5. Step 5: Solve for x
    x = 27,429,321,924/106,107
  6. Step 6: Final answer
    x = 258,506.24

Related Problems

Find third proportional to 53,053.50 and 82,809
Half scale
Find third proportional to 212,214 and 331,236
Double scale
Find third proportional to 106,109 and 165,621
Similar ratio
Find third proportional to 159,160.50 and 248,427
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.