Home / 69,688-106,168

Finding the Third Proportional to 69,688 and 106,168

Calculator

Solution

The third proportional to 69,688 and 106,168 is: 161,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,688 : 106,168 = 106,168 : x
  2. Step 2: Convert to fraction form
    69,688/106,168 = 106,168/x
  3. Step 3: Cross multiply
    69,688x = 106,168 × 106,168
  4. Step 4: Simplify right side
    69,688x = 11,271,644,224
  5. Step 5: Solve for x
    x = 11,271,644,224/69,688
  6. Step 6: Final answer
    x = 161,744.41

Related Problems

Find third proportional to 34,844 and 53,084
Half scale
Find third proportional to 139,376 and 212,336
Double scale
Find third proportional to 69,690 and 106,171
Similar ratio
Find third proportional to 104,532 and 159,252
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.