Home / 11,584-14,528

Finding the Third Proportional to 11,584 and 14,528

Calculator

Solution

The third proportional to 11,584 and 14,528 is: 18,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584 : 14,528 = 14,528 : x
  2. Step 2: Convert to fraction form
    11,584/14,528 = 14,528/x
  3. Step 3: Cross multiply
    11,584x = 14,528 × 14,528
  4. Step 4: Simplify right side
    11,584x = 211,062,784
  5. Step 5: Solve for x
    x = 211,062,784/11,584
  6. Step 6: Final answer
    x = 18,220.20

Related Problems

Find third proportional to 5,792 and 7,264
Half scale
Find third proportional to 23,168 and 29,056
Double scale
Find third proportional to 11,586 and 14,531
Similar ratio
Find third proportional to 17,376 and 21,792
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.