Home / 306,729-509,427

Finding the Third Proportional to 306,729 and 509,427

Calculator

Solution

The third proportional to 306,729 and 509,427 is: 846,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,729 : 509,427 = 509,427 : x
  2. Step 2: Convert to fraction form
    306,729/509,427 = 509,427/x
  3. Step 3: Cross multiply
    306,729x = 509,427 × 509,427
  4. Step 4: Simplify right side
    306,729x = 259,515,868,329
  5. Step 5: Solve for x
    x = 259,515,868,329/306,729
  6. Step 6: Final answer
    x = 846,075.42

Related Problems

Find third proportional to 153,364.50 and 254,713.50
Half scale
Find third proportional to 613,458 and 1,018,854
Double scale
Find third proportional to 306,731 and 509,430
Similar ratio
Find third proportional to 460,093.50 and 764,140.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.