Home / 13,050-14,970

Finding the Third Proportional to 13,050 and 14,970

Calculator

Solution

The third proportional to 13,050 and 14,970 is: 17,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 14,970 = 14,970 : x
  2. Step 2: Convert to fraction form
    13,050/14,970 = 14,970/x
  3. Step 3: Cross multiply
    13,050x = 14,970 × 14,970
  4. Step 4: Simplify right side
    13,050x = 224,100,900
  5. Step 5: Solve for x
    x = 224,100,900/13,050
  6. Step 6: Final answer
    x = 17,172.48

Related Problems

Find third proportional to 6,525 and 7,485
Half scale
Find third proportional to 26,100 and 29,940
Double scale
Find third proportional to 13,052 and 14,972
Similar ratio
Find third proportional to 19,575 and 22,455
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.