Home / 6,500-14,209

Finding the Third Proportional to 6,500 and 14,209

Calculator

Solution

The third proportional to 6,500 and 14,209 is: 31,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 14,209 = 14,209 : x
  2. Step 2: Convert to fraction form
    6,500/14,209 = 14,209/x
  3. Step 3: Cross multiply
    6,500x = 14,209 × 14,209
  4. Step 4: Simplify right side
    6,500x = 201,895,681
  5. Step 5: Solve for x
    x = 201,895,681/6,500
  6. Step 6: Final answer
    x = 31,060.87

Related Problems

Find third proportional to 3,250 and 7,104.50
Half scale
Find third proportional to 13,000 and 28,418
Double scale
Find third proportional to 6,502 and 14,213
Similar ratio
Find third proportional to 9,750 and 21,313.50
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.