Home / 10,210-14,352

Finding the Third Proportional to 10,210 and 14,352

Calculator

Solution

The third proportional to 10,210 and 14,352 is: 20,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210 : 14,352 = 14,352 : x
  2. Step 2: Convert to fraction form
    10,210/14,352 = 14,352/x
  3. Step 3: Cross multiply
    10,210x = 14,352 × 14,352
  4. Step 4: Simplify right side
    10,210x = 205,979,904
  5. Step 5: Solve for x
    x = 205,979,904/10,210
  6. Step 6: Final answer
    x = 20,174.33

Related Problems

Find third proportional to 5,105 and 7,176
Half scale
Find third proportional to 20,420 and 28,704
Double scale
Find third proportional to 10,212 and 14,355
Similar ratio
Find third proportional to 15,315 and 21,528
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.