Home / 6,580-14,416

Finding the Third Proportional to 6,580 and 14,416

Calculator

Solution

The third proportional to 6,580 and 14,416 is: 31,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580 : 14,416 = 14,416 : x
  2. Step 2: Convert to fraction form
    6,580/14,416 = 14,416/x
  3. Step 3: Cross multiply
    6,580x = 14,416 × 14,416
  4. Step 4: Simplify right side
    6,580x = 207,821,056
  5. Step 5: Solve for x
    x = 207,821,056/6,580
  6. Step 6: Final answer
    x = 31,583.75

Related Problems

Find third proportional to 3,290 and 7,208
Half scale
Find third proportional to 13,160 and 28,832
Double scale
Find third proportional to 6,582 and 14,420
Similar ratio
Find third proportional to 9,870 and 21,624
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.