Home / 6,504-9,546

Finding the Third Proportional to 6,504 and 9,546

Calculator

Solution

The third proportional to 6,504 and 9,546 is: 14,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504 : 9,546 = 9,546 : x
  2. Step 2: Convert to fraction form
    6,504/9,546 = 9,546/x
  3. Step 3: Cross multiply
    6,504x = 9,546 × 9,546
  4. Step 4: Simplify right side
    6,504x = 91,126,116
  5. Step 5: Solve for x
    x = 91,126,116/6,504
  6. Step 6: Final answer
    x = 14,010.78

Related Problems

Find third proportional to 3,252 and 4,773
Half scale
Find third proportional to 13,008 and 19,092
Double scale
Find third proportional to 6,506 and 9,549
Similar ratio
Find third proportional to 9,756 and 14,319
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.