Home / 10,220-14,464

Finding the Third Proportional to 10,220 and 14,464

Calculator

Solution

The third proportional to 10,220 and 14,464 is: 20,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220 : 14,464 = 14,464 : x
  2. Step 2: Convert to fraction form
    10,220/14,464 = 14,464/x
  3. Step 3: Cross multiply
    10,220x = 14,464 × 14,464
  4. Step 4: Simplify right side
    10,220x = 209,207,296
  5. Step 5: Solve for x
    x = 209,207,296/10,220
  6. Step 6: Final answer
    x = 20,470.38

Related Problems

Find third proportional to 5,110 and 7,232
Half scale
Find third proportional to 20,440 and 28,928
Double scale
Find third proportional to 10,222 and 14,467
Similar ratio
Find third proportional to 15,330 and 21,696
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.