Home / 7,785-16,974

Finding the Third Proportional to 7,785 and 16,974

Calculator

Solution

The third proportional to 7,785 and 16,974 is: 37,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 16,974 = 16,974 : x
  2. Step 2: Convert to fraction form
    7,785/16,974 = 16,974/x
  3. Step 3: Cross multiply
    7,785x = 16,974 × 16,974
  4. Step 4: Simplify right side
    7,785x = 288,116,676
  5. Step 5: Solve for x
    x = 288,116,676/7,785
  6. Step 6: Final answer
    x = 37,009.21

Related Problems

Find third proportional to 3,892.50 and 8,487
Half scale
Find third proportional to 15,570 and 33,948
Double scale
Find third proportional to 7,787 and 16,978
Similar ratio
Find third proportional to 11,677.50 and 25,461
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.