Home / 106,398-166,536

Finding the Third Proportional to 106,398 and 166,536

Calculator

Solution

The third proportional to 106,398 and 166,536 is: 260,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398 : 166,536 = 166,536 : x
  2. Step 2: Convert to fraction form
    106,398/166,536 = 166,536/x
  3. Step 3: Cross multiply
    106,398x = 166,536 × 166,536
  4. Step 4: Simplify right side
    106,398x = 27,734,239,296
  5. Step 5: Solve for x
    x = 27,734,239,296/106,398
  6. Step 6: Final answer
    x = 260,665.04

Related Problems

Find third proportional to 53,199 and 83,268
Half scale
Find third proportional to 212,796 and 333,072
Double scale
Find third proportional to 106,400 and 166,539
Similar ratio
Find third proportional to 159,597 and 249,804
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.