Home / 309,412-478,689

Finding the Third Proportional to 309,412 and 478,689

Calculator

Solution

The third proportional to 309,412 and 478,689 is: 740,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,412 : 478,689 = 478,689 : x
  2. Step 2: Convert to fraction form
    309,412/478,689 = 478,689/x
  3. Step 3: Cross multiply
    309,412x = 478,689 × 478,689
  4. Step 4: Simplify right side
    309,412x = 229,143,158,721
  5. Step 5: Solve for x
    x = 229,143,158,721/309,412
  6. Step 6: Final answer
    x = 740,576.19

Related Problems

Find third proportional to 154,706 and 239,344.50
Half scale
Find third proportional to 618,824 and 957,378
Double scale
Find third proportional to 309,414 and 478,692
Similar ratio
Find third proportional to 464,118 and 718,033.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.