Home / 10,140-20,946

Finding the Third Proportional to 10,140 and 20,946

Calculator

Solution

The third proportional to 10,140 and 20,946 is: 43,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140 : 20,946 = 20,946 : x
  2. Step 2: Convert to fraction form
    10,140/20,946 = 20,946/x
  3. Step 3: Cross multiply
    10,140x = 20,946 × 20,946
  4. Step 4: Simplify right side
    10,140x = 438,734,916
  5. Step 5: Solve for x
    x = 438,734,916/10,140
  6. Step 6: Final answer
    x = 43,267.74

Related Problems

Find third proportional to 5,070 and 10,473
Half scale
Find third proportional to 20,280 and 41,892
Double scale
Find third proportional to 10,142 and 20,950
Similar ratio
Find third proportional to 15,210 and 31,419
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.