Home / 6,774-7,542

Finding the Third Proportional to 6,774 and 7,542

Calculator

Solution

The third proportional to 6,774 and 7,542 is: 8,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774 : 7,542 = 7,542 : x
  2. Step 2: Convert to fraction form
    6,774/7,542 = 7,542/x
  3. Step 3: Cross multiply
    6,774x = 7,542 × 7,542
  4. Step 4: Simplify right side
    6,774x = 56,881,764
  5. Step 5: Solve for x
    x = 56,881,764/6,774
  6. Step 6: Final answer
    x = 8,397.07

Related Problems

Find third proportional to 3,387 and 3,771
Half scale
Find third proportional to 13,548 and 15,084
Double scale
Find third proportional to 6,776 and 7,544
Similar ratio
Find third proportional to 10,161 and 11,313
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.