Home / 309,713-468,855

Finding the Third Proportional to 309,713 and 468,855

Calculator

Solution

The third proportional to 309,713 and 468,855 is: 709,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,713 : 468,855 = 468,855 : x
  2. Step 2: Convert to fraction form
    309,713/468,855 = 468,855/x
  3. Step 3: Cross multiply
    309,713x = 468,855 × 468,855
  4. Step 4: Simplify right side
    309,713x = 219,825,011,025
  5. Step 5: Solve for x
    x = 219,825,011,025/309,713
  6. Step 6: Final answer
    x = 709,770.05

Related Problems

Find third proportional to 154,856.50 and 234,427.50
Half scale
Find third proportional to 619,426 and 937,710
Double scale
Find third proportional to 309,715 and 468,858
Similar ratio
Find third proportional to 464,569.50 and 703,282.50
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.