Home / 218,862-470,419

Finding the Third Proportional to 218,862 and 470,419

Calculator

Solution

The third proportional to 218,862 and 470,419 is: 1,011,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862 : 470,419 = 470,419 : x
  2. Step 2: Convert to fraction form
    218,862/470,419 = 470,419/x
  3. Step 3: Cross multiply
    218,862x = 470,419 × 470,419
  4. Step 4: Simplify right side
    218,862x = 221,294,035,561
  5. Step 5: Solve for x
    x = 221,294,035,561/218,862
  6. Step 6: Final answer
    x = 1,011,112.19

Related Problems

Find third proportional to 109,431 and 235,209.50
Half scale
Find third proportional to 437,724 and 940,838
Double scale
Find third proportional to 218,864 and 470,423
Similar ratio
Find third proportional to 328,293 and 705,628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.