Home / 6,589-14,566

Finding the Third Proportional to 6,589 and 14,566

Calculator

Solution

The third proportional to 6,589 and 14,566 is: 32,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589 : 14,566 = 14,566 : x
  2. Step 2: Convert to fraction form
    6,589/14,566 = 14,566/x
  3. Step 3: Cross multiply
    6,589x = 14,566 × 14,566
  4. Step 4: Simplify right side
    6,589x = 212,168,356
  5. Step 5: Solve for x
    x = 212,168,356/6,589
  6. Step 6: Final answer
    x = 32,200.39

Related Problems

Find third proportional to 3,294.50 and 7,283
Half scale
Find third proportional to 13,178 and 29,132
Double scale
Find third proportional to 6,591 and 14,570
Similar ratio
Find third proportional to 9,883.50 and 21,849
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.