Home / 10,304-14,586

Finding the Third Proportional to 10,304 and 14,586

Calculator

Solution

The third proportional to 10,304 and 14,586 is: 20,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304 : 14,586 = 14,586 : x
  2. Step 2: Convert to fraction form
    10,304/14,586 = 14,586/x
  3. Step 3: Cross multiply
    10,304x = 14,586 × 14,586
  4. Step 4: Simplify right side
    10,304x = 212,751,396
  5. Step 5: Solve for x
    x = 212,751,396/10,304
  6. Step 6: Final answer
    x = 20,647.46

Related Problems

Find third proportional to 5,152 and 7,293
Half scale
Find third proportional to 20,608 and 29,172
Double scale
Find third proportional to 10,306 and 14,589
Similar ratio
Find third proportional to 15,456 and 21,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.