Home / 9,208-14,586

Finding the Third Proportional to 9,208 and 14,586

Calculator

Solution

The third proportional to 9,208 and 14,586 is: 23,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208 : 14,586 = 14,586 : x
  2. Step 2: Convert to fraction form
    9,208/14,586 = 14,586/x
  3. Step 3: Cross multiply
    9,208x = 14,586 × 14,586
  4. Step 4: Simplify right side
    9,208x = 212,751,396
  5. Step 5: Solve for x
    x = 212,751,396/9,208
  6. Step 6: Final answer
    x = 23,105.06

Related Problems

Find third proportional to 4,604 and 7,293
Half scale
Find third proportional to 18,416 and 29,172
Double scale
Find third proportional to 9,210 and 14,589
Similar ratio
Find third proportional to 13,812 and 21,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.