Home / 10,070-14,322

Finding the Third Proportional to 10,070 and 14,322

Calculator

Solution

The third proportional to 10,070 and 14,322 is: 20,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070 : 14,322 = 14,322 : x
  2. Step 2: Convert to fraction form
    10,070/14,322 = 14,322/x
  3. Step 3: Cross multiply
    10,070x = 14,322 × 14,322
  4. Step 4: Simplify right side
    10,070x = 205,119,684
  5. Step 5: Solve for x
    x = 205,119,684/10,070
  6. Step 6: Final answer
    x = 20,369.38

Related Problems

Find third proportional to 5,035 and 7,161
Half scale
Find third proportional to 20,140 and 28,644
Double scale
Find third proportional to 10,072 and 14,325
Similar ratio
Find third proportional to 15,105 and 21,483
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.