Home / 10,220-14,463

Finding the Third Proportional to 10,220 and 14,463

Calculator

Solution

The third proportional to 10,220 and 14,463 is: 20,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220 : 14,463 = 14,463 : x
  2. Step 2: Convert to fraction form
    10,220/14,463 = 14,463/x
  3. Step 3: Cross multiply
    10,220x = 14,463 × 14,463
  4. Step 4: Simplify right side
    10,220x = 209,178,369
  5. Step 5: Solve for x
    x = 209,178,369/10,220
  6. Step 6: Final answer
    x = 20,467.55

Related Problems

Find third proportional to 5,110 and 7,231.50
Half scale
Find third proportional to 20,440 and 28,926
Double scale
Find third proportional to 10,222 and 14,466
Similar ratio
Find third proportional to 15,330 and 21,694.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.