Home / 9,972-15,942

Finding the Third Proportional to 9,972 and 15,942

Calculator

Solution

The third proportional to 9,972 and 15,942 is: 25,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 15,942 = 15,942 : x
  2. Step 2: Convert to fraction form
    9,972/15,942 = 15,942/x
  3. Step 3: Cross multiply
    9,972x = 15,942 × 15,942
  4. Step 4: Simplify right side
    9,972x = 254,147,364
  5. Step 5: Solve for x
    x = 254,147,364/9,972
  6. Step 6: Final answer
    x = 25,486.10

Related Problems

Find third proportional to 4,986 and 7,971
Half scale
Find third proportional to 19,944 and 31,884
Double scale
Find third proportional to 9,974 and 15,945
Similar ratio
Find third proportional to 14,958 and 23,913
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.