Home / 10,654-15,973

Finding the Third Proportional to 10,654 and 15,973

Calculator

Solution

The third proportional to 10,654 and 15,973 is: 23,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654 : 15,973 = 15,973 : x
  2. Step 2: Convert to fraction form
    10,654/15,973 = 15,973/x
  3. Step 3: Cross multiply
    10,654x = 15,973 × 15,973
  4. Step 4: Simplify right side
    10,654x = 255,136,729
  5. Step 5: Solve for x
    x = 255,136,729/10,654
  6. Step 6: Final answer
    x = 23,947.51

Related Problems

Find third proportional to 5,327 and 7,986.50
Half scale
Find third proportional to 21,308 and 31,946
Double scale
Find third proportional to 10,656 and 15,976
Similar ratio
Find third proportional to 15,981 and 23,959.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.