Home / 84,413-197,208

Finding the Third Proportional to 84,413 and 197,208

Calculator

Solution

The third proportional to 84,413 and 197,208 is: 460,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,413 : 197,208 = 197,208 : x
  2. Step 2: Convert to fraction form
    84,413/197,208 = 197,208/x
  3. Step 3: Cross multiply
    84,413x = 197,208 × 197,208
  4. Step 4: Simplify right side
    84,413x = 38,890,995,264
  5. Step 5: Solve for x
    x = 38,890,995,264/84,413
  6. Step 6: Final answer
    x = 460,722.82

Related Problems

Find third proportional to 42,206.50 and 98,604
Half scale
Find third proportional to 168,826 and 394,416
Double scale
Find third proportional to 84,415 and 197,213
Similar ratio
Find third proportional to 126,619.50 and 295,812
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.