Home / 6,972-14,646

Finding the Third Proportional to 6,972 and 14,646

Calculator

Solution

The third proportional to 6,972 and 14,646 is: 30,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 14,646 = 14,646 : x
  2. Step 2: Convert to fraction form
    6,972/14,646 = 14,646/x
  3. Step 3: Cross multiply
    6,972x = 14,646 × 14,646
  4. Step 4: Simplify right side
    6,972x = 214,505,316
  5. Step 5: Solve for x
    x = 214,505,316/6,972
  6. Step 6: Final answer
    x = 30,766.68

Related Problems

Find third proportional to 3,486 and 7,323
Half scale
Find third proportional to 13,944 and 29,292
Double scale
Find third proportional to 6,974 and 14,650
Similar ratio
Find third proportional to 10,458 and 21,969
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.