Home / 3,002-4,748

Finding the Third Proportional to 3,002 and 4,748

Calculator

Solution

The third proportional to 3,002 and 4,748 is: 7,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002 : 4,748 = 4,748 : x
  2. Step 2: Convert to fraction form
    3,002/4,748 = 4,748/x
  3. Step 3: Cross multiply
    3,002x = 4,748 × 4,748
  4. Step 4: Simplify right side
    3,002x = 22,543,504
  5. Step 5: Solve for x
    x = 22,543,504/3,002
  6. Step 6: Final answer
    x = 7,509.50

Related Problems

Find third proportional to 1,501 and 2,374
Half scale
Find third proportional to 6,004 and 9,496
Double scale
Find third proportional to 3,004 and 4,751
Similar ratio
Find third proportional to 4,503 and 7,122
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.