Home / 471-939

Finding the Third Proportional to 471 and 939

Calculator

Solution

The third proportional to 471 and 939 is: 1,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 939 = 939 : x
  2. Step 2: Convert to fraction form
    471/939 = 939/x
  3. Step 3: Cross multiply
    471x = 939 × 939
  4. Step 4: Simplify right side
    471x = 881,721
  5. Step 5: Solve for x
    x = 881,721/471
  6. Step 6: Final answer
    x = 1,872.02

Related Problems

Find third proportional to 235.50 and 469.50
Half scale
Find third proportional to 942 and 1,878
Double scale
Find third proportional to 473 and 943
Similar ratio
Find third proportional to 706.50 and 1,408.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.