Home / 109,296-164,948

Finding the Third Proportional to 109,296 and 164,948

Calculator

Solution

The third proportional to 109,296 and 164,948 is: 248,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,296 : 164,948 = 164,948 : x
  2. Step 2: Convert to fraction form
    109,296/164,948 = 164,948/x
  3. Step 3: Cross multiply
    109,296x = 164,948 × 164,948
  4. Step 4: Simplify right side
    109,296x = 27,207,842,704
  5. Step 5: Solve for x
    x = 27,207,842,704/109,296
  6. Step 6: Final answer
    x = 248,937.22

Related Problems

Find third proportional to 54,648 and 82,474
Half scale
Find third proportional to 218,592 and 329,896
Double scale
Find third proportional to 109,298 and 164,951
Similar ratio
Find third proportional to 163,944 and 247,422
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.