Home / 13,582-17,421

Finding the Third Proportional to 13,582 and 17,421

Calculator

Solution

The third proportional to 13,582 and 17,421 is: 22,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582 : 17,421 = 17,421 : x
  2. Step 2: Convert to fraction form
    13,582/17,421 = 17,421/x
  3. Step 3: Cross multiply
    13,582x = 17,421 × 17,421
  4. Step 4: Simplify right side
    13,582x = 303,491,241
  5. Step 5: Solve for x
    x = 303,491,241/13,582
  6. Step 6: Final answer
    x = 22,345.11

Related Problems

Find third proportional to 6,791 and 8,710.50
Half scale
Find third proportional to 27,164 and 34,842
Double scale
Find third proportional to 13,584 and 17,424
Similar ratio
Find third proportional to 20,373 and 26,131.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.