Home / 10,032-14,338

Finding the Third Proportional to 10,032 and 14,338

Calculator

Solution

The third proportional to 10,032 and 14,338 is: 20,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032 : 14,338 = 14,338 : x
  2. Step 2: Convert to fraction form
    10,032/14,338 = 14,338/x
  3. Step 3: Cross multiply
    10,032x = 14,338 × 14,338
  4. Step 4: Simplify right side
    10,032x = 205,578,244
  5. Step 5: Solve for x
    x = 205,578,244/10,032
  6. Step 6: Final answer
    x = 20,492.25

Related Problems

Find third proportional to 5,016 and 7,169
Half scale
Find third proportional to 20,064 and 28,676
Double scale
Find third proportional to 10,034 and 14,341
Similar ratio
Find third proportional to 15,048 and 21,507
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.