Home / 10,584-13,473

Finding the Third Proportional to 10,584 and 13,473

Calculator

Solution

The third proportional to 10,584 and 13,473 is: 17,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 13,473 = 13,473 : x
  2. Step 2: Convert to fraction form
    10,584/13,473 = 13,473/x
  3. Step 3: Cross multiply
    10,584x = 13,473 × 13,473
  4. Step 4: Simplify right side
    10,584x = 181,521,729
  5. Step 5: Solve for x
    x = 181,521,729/10,584
  6. Step 6: Final answer
    x = 17,150.58

Related Problems

Find third proportional to 5,292 and 6,736.50
Half scale
Find third proportional to 21,168 and 26,946
Double scale
Find third proportional to 10,586 and 13,476
Similar ratio
Find third proportional to 15,876 and 20,209.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.