Home / 109,524-164,772

Finding the Third Proportional to 109,524 and 164,772

Calculator

Solution

The third proportional to 109,524 and 164,772 is: 247,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,524 : 164,772 = 164,772 : x
  2. Step 2: Convert to fraction form
    109,524/164,772 = 164,772/x
  3. Step 3: Cross multiply
    109,524x = 164,772 × 164,772
  4. Step 4: Simplify right side
    109,524x = 27,149,811,984
  5. Step 5: Solve for x
    x = 27,149,811,984/109,524
  6. Step 6: Final answer
    x = 247,889.16

Related Problems

Find third proportional to 54,762 and 82,386
Half scale
Find third proportional to 219,048 and 329,544
Double scale
Find third proportional to 109,526 and 164,775
Similar ratio
Find third proportional to 164,286 and 247,158
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.