Home / 3,700-7,814

Finding the Third Proportional to 3,700 and 7,814

Calculator

Solution

The third proportional to 3,700 and 7,814 is: 16,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700 : 7,814 = 7,814 : x
  2. Step 2: Convert to fraction form
    3,700/7,814 = 7,814/x
  3. Step 3: Cross multiply
    3,700x = 7,814 × 7,814
  4. Step 4: Simplify right side
    3,700x = 61,058,596
  5. Step 5: Solve for x
    x = 61,058,596/3,700
  6. Step 6: Final answer
    x = 16,502.32

Related Problems

Find third proportional to 1,850 and 3,907
Half scale
Find third proportional to 7,400 and 15,628
Double scale
Find third proportional to 3,702 and 7,818
Similar ratio
Find third proportional to 5,550 and 11,721
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.