Home / 106,136-165,660

Finding the Third Proportional to 106,136 and 165,660

Calculator

Solution

The third proportional to 106,136 and 165,660 is: 258,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,136 : 165,660 = 165,660 : x
  2. Step 2: Convert to fraction form
    106,136/165,660 = 165,660/x
  3. Step 3: Cross multiply
    106,136x = 165,660 × 165,660
  4. Step 4: Simplify right side
    106,136x = 27,443,235,600
  5. Step 5: Solve for x
    x = 27,443,235,600/106,136
  6. Step 6: Final answer
    x = 258,566.70

Related Problems

Find third proportional to 53,068 and 82,830
Half scale
Find third proportional to 212,272 and 331,320
Double scale
Find third proportional to 106,138 and 165,663
Similar ratio
Find third proportional to 159,204 and 248,490
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.