Home / 6,820-14,654

Finding the Third Proportional to 6,820 and 14,654

Calculator

Solution

The third proportional to 6,820 and 14,654 is: 31,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 14,654 = 14,654 : x
  2. Step 2: Convert to fraction form
    6,820/14,654 = 14,654/x
  3. Step 3: Cross multiply
    6,820x = 14,654 × 14,654
  4. Step 4: Simplify right side
    6,820x = 214,739,716
  5. Step 5: Solve for x
    x = 214,739,716/6,820
  6. Step 6: Final answer
    x = 31,486.76

Related Problems

Find third proportional to 3,410 and 7,327
Half scale
Find third proportional to 13,640 and 29,308
Double scale
Find third proportional to 6,822 and 14,658
Similar ratio
Find third proportional to 10,230 and 21,981
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.