Home / 2,002-4,712

Finding the Third Proportional to 2,002 and 4,712

Calculator

Solution

The third proportional to 2,002 and 4,712 is: 11,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 4,712 = 4,712 : x
  2. Step 2: Convert to fraction form
    2,002/4,712 = 4,712/x
  3. Step 3: Cross multiply
    2,002x = 4,712 × 4,712
  4. Step 4: Simplify right side
    2,002x = 22,202,944
  5. Step 5: Solve for x
    x = 22,202,944/2,002
  6. Step 6: Final answer
    x = 11,090.38

Related Problems

Find third proportional to 1,001 and 2,356
Half scale
Find third proportional to 4,004 and 9,424
Double scale
Find third proportional to 2,004 and 4,717
Similar ratio
Find third proportional to 3,003 and 7,068
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.