Home / 109,413-171,414

Finding the Third Proportional to 109,413 and 171,414

Calculator

Solution

The third proportional to 109,413 and 171,414 is: 268,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,413 : 171,414 = 171,414 : x
  2. Step 2: Convert to fraction form
    109,413/171,414 = 171,414/x
  3. Step 3: Cross multiply
    109,413x = 171,414 × 171,414
  4. Step 4: Simplify right side
    109,413x = 29,382,759,396
  5. Step 5: Solve for x
    x = 29,382,759,396/109,413
  6. Step 6: Final answer
    x = 268,549.07

Related Problems

Find third proportional to 54,706.50 and 85,707
Half scale
Find third proportional to 218,826 and 342,828
Double scale
Find third proportional to 109,415 and 171,417
Similar ratio
Find third proportional to 164,119.50 and 257,121
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.