Home / 218,898-464,154

Finding the Third Proportional to 218,898 and 464,154

Calculator

Solution

The third proportional to 218,898 and 464,154 is: 984,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,898 : 464,154 = 464,154 : x
  2. Step 2: Convert to fraction form
    218,898/464,154 = 464,154/x
  3. Step 3: Cross multiply
    218,898x = 464,154 × 464,154
  4. Step 4: Simplify right side
    218,898x = 215,438,935,716
  5. Step 5: Solve for x
    x = 215,438,935,716/218,898
  6. Step 6: Final answer
    x = 984,197.83

Related Problems

Find third proportional to 109,449 and 232,077
Half scale
Find third proportional to 437,796 and 928,308
Double scale
Find third proportional to 218,900 and 464,158
Similar ratio
Find third proportional to 328,347 and 696,231
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.