Home / 54,199-83,413

Finding the Third Proportional to 54,199 and 83,413

Calculator

Solution

The third proportional to 54,199 and 83,413 is: 128,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,199 : 83,413 = 83,413 : x
  2. Step 2: Convert to fraction form
    54,199/83,413 = 83,413/x
  3. Step 3: Cross multiply
    54,199x = 83,413 × 83,413
  4. Step 4: Simplify right side
    54,199x = 6,957,728,569
  5. Step 5: Solve for x
    x = 6,957,728,569/54,199
  6. Step 6: Final answer
    x = 128,373.74

Related Problems

Find third proportional to 27,099.50 and 41,706.50
Half scale
Find third proportional to 108,398 and 166,826
Double scale
Find third proportional to 54,201 and 83,416
Similar ratio
Find third proportional to 81,298.50 and 125,119.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.