Home / 309,692-678,433

Finding the Third Proportional to 309,692 and 678,433

Calculator

Solution

The third proportional to 309,692 and 678,433 is: 1,486,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,692 : 678,433 = 678,433 : x
  2. Step 2: Convert to fraction form
    309,692/678,433 = 678,433/x
  3. Step 3: Cross multiply
    309,692x = 678,433 × 678,433
  4. Step 4: Simplify right side
    309,692x = 460,271,335,489
  5. Step 5: Solve for x
    x = 460,271,335,489/309,692
  6. Step 6: Final answer
    x = 1,486,222.88

Related Problems

Find third proportional to 154,846 and 339,216.50
Half scale
Find third proportional to 619,384 and 1,356,866
Double scale
Find third proportional to 309,694 and 678,437
Similar ratio
Find third proportional to 464,538 and 1,017,649.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.