Home / 10,786-14,567

Finding the Third Proportional to 10,786 and 14,567

Calculator

Solution

The third proportional to 10,786 and 14,567 is: 19,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 14,567 = 14,567 : x
  2. Step 2: Convert to fraction form
    10,786/14,567 = 14,567/x
  3. Step 3: Cross multiply
    10,786x = 14,567 × 14,567
  4. Step 4: Simplify right side
    10,786x = 212,197,489
  5. Step 5: Solve for x
    x = 212,197,489/10,786
  6. Step 6: Final answer
    x = 19,673.42

Related Problems

Find third proportional to 5,393 and 7,283.50
Half scale
Find third proportional to 21,572 and 29,134
Double scale
Find third proportional to 10,788 and 14,570
Similar ratio
Find third proportional to 16,179 and 21,850.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.