Home / 309,714-468,857

Finding the Third Proportional to 309,714 and 468,857

Calculator

Solution

The third proportional to 309,714 and 468,857 is: 709,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,714 : 468,857 = 468,857 : x
  2. Step 2: Convert to fraction form
    309,714/468,857 = 468,857/x
  3. Step 3: Cross multiply
    309,714x = 468,857 × 468,857
  4. Step 4: Simplify right side
    309,714x = 219,826,886,449
  5. Step 5: Solve for x
    x = 219,826,886,449/309,714
  6. Step 6: Final answer
    x = 709,773.81

Related Problems

Find third proportional to 154,857 and 234,428.50
Half scale
Find third proportional to 619,428 and 937,714
Double scale
Find third proportional to 309,716 and 468,860
Similar ratio
Find third proportional to 464,571 and 703,285.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.