Home / 6,502-14,243

Finding the Third Proportional to 6,502 and 14,243

Calculator

Solution

The third proportional to 6,502 and 14,243 is: 31,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 14,243 = 14,243 : x
  2. Step 2: Convert to fraction form
    6,502/14,243 = 14,243/x
  3. Step 3: Cross multiply
    6,502x = 14,243 × 14,243
  4. Step 4: Simplify right side
    6,502x = 202,863,049
  5. Step 5: Solve for x
    x = 202,863,049/6,502
  6. Step 6: Final answer
    x = 31,200.10

Related Problems

Find third proportional to 3,251 and 7,121.50
Half scale
Find third proportional to 13,004 and 28,486
Double scale
Find third proportional to 6,504 and 14,247
Similar ratio
Find third proportional to 9,753 and 21,364.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.