Home / 6,834-9,123

Finding the Third Proportional to 6,834 and 9,123

Calculator

Solution

The third proportional to 6,834 and 9,123 is: 12,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834 : 9,123 = 9,123 : x
  2. Step 2: Convert to fraction form
    6,834/9,123 = 9,123/x
  3. Step 3: Cross multiply
    6,834x = 9,123 × 9,123
  4. Step 4: Simplify right side
    6,834x = 83,229,129
  5. Step 5: Solve for x
    x = 83,229,129/6,834
  6. Step 6: Final answer
    x = 12,178.68

Related Problems

Find third proportional to 3,417 and 4,561.50
Half scale
Find third proportional to 13,668 and 18,246
Double scale
Find third proportional to 6,836 and 9,126
Similar ratio
Find third proportional to 10,251 and 13,684.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.