Home / 6,584-14,260

Finding the Third Proportional to 6,584 and 14,260

Calculator

Solution

The third proportional to 6,584 and 14,260 is: 30,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 14,260 = 14,260 : x
  2. Step 2: Convert to fraction form
    6,584/14,260 = 14,260/x
  3. Step 3: Cross multiply
    6,584x = 14,260 × 14,260
  4. Step 4: Simplify right side
    6,584x = 203,347,600
  5. Step 5: Solve for x
    x = 203,347,600/6,584
  6. Step 6: Final answer
    x = 30,885.12

Related Problems

Find third proportional to 3,292 and 7,130
Half scale
Find third proportional to 13,168 and 28,520
Double scale
Find third proportional to 6,586 and 14,264
Similar ratio
Find third proportional to 9,876 and 21,390
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.