Home / 10,584-14,526

Finding the Third Proportional to 10,584 and 14,526

Calculator

Solution

The third proportional to 10,584 and 14,526 is: 19,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 14,526 = 14,526 : x
  2. Step 2: Convert to fraction form
    10,584/14,526 = 14,526/x
  3. Step 3: Cross multiply
    10,584x = 14,526 × 14,526
  4. Step 4: Simplify right side
    10,584x = 211,004,676
  5. Step 5: Solve for x
    x = 211,004,676/10,584
  6. Step 6: Final answer
    x = 19,936.19

Related Problems

Find third proportional to 5,292 and 7,263
Half scale
Find third proportional to 21,168 and 29,052
Double scale
Find third proportional to 10,586 and 14,529
Similar ratio
Find third proportional to 15,876 and 21,789
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.