Home / 189,411-420,864

Finding the Third Proportional to 189,411 and 420,864

Calculator

Solution

The third proportional to 189,411 and 420,864 is: 935,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,411 : 420,864 = 420,864 : x
  2. Step 2: Convert to fraction form
    189,411/420,864 = 420,864/x
  3. Step 3: Cross multiply
    189,411x = 420,864 × 420,864
  4. Step 4: Simplify right side
    189,411x = 177,126,506,496
  5. Step 5: Solve for x
    x = 177,126,506,496/189,411
  6. Step 6: Final answer
    x = 935,143.72

Related Problems

Find third proportional to 94,705.50 and 210,432
Half scale
Find third proportional to 378,822 and 841,728
Double scale
Find third proportional to 189,413 and 420,868
Similar ratio
Find third proportional to 284,116.50 and 631,296
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.