Home / 9,670-14,582

Finding the Third Proportional to 9,670 and 14,582

Calculator

Solution

The third proportional to 9,670 and 14,582 is: 21,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670 : 14,582 = 14,582 : x
  2. Step 2: Convert to fraction form
    9,670/14,582 = 14,582/x
  3. Step 3: Cross multiply
    9,670x = 14,582 × 14,582
  4. Step 4: Simplify right side
    9,670x = 212,634,724
  5. Step 5: Solve for x
    x = 212,634,724/9,670
  6. Step 6: Final answer
    x = 21,989.11

Related Problems

Find third proportional to 4,835 and 7,291
Half scale
Find third proportional to 19,340 and 29,164
Double scale
Find third proportional to 9,672 and 14,585
Similar ratio
Find third proportional to 14,505 and 21,873
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.