Home / 10,652-19,972

Finding the Third Proportional to 10,652 and 19,972

Calculator

Solution

The third proportional to 10,652 and 19,972 is: 37,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652 : 19,972 = 19,972 : x
  2. Step 2: Convert to fraction form
    10,652/19,972 = 19,972/x
  3. Step 3: Cross multiply
    10,652x = 19,972 × 19,972
  4. Step 4: Simplify right side
    10,652x = 398,880,784
  5. Step 5: Solve for x
    x = 398,880,784/10,652
  6. Step 6: Final answer
    x = 37,446.56

Related Problems

Find third proportional to 5,326 and 9,986
Half scale
Find third proportional to 21,304 and 39,944
Double scale
Find third proportional to 10,654 and 19,976
Similar ratio
Find third proportional to 15,978 and 29,958
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.