Home / 10,580-14,398

Finding the Third Proportional to 10,580 and 14,398

Calculator

Solution

The third proportional to 10,580 and 14,398 is: 19,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 14,398 = 14,398 : x
  2. Step 2: Convert to fraction form
    10,580/14,398 = 14,398/x
  3. Step 3: Cross multiply
    10,580x = 14,398 × 14,398
  4. Step 4: Simplify right side
    10,580x = 207,302,404
  5. Step 5: Solve for x
    x = 207,302,404/10,580
  6. Step 6: Final answer
    x = 19,593.80

Related Problems

Find third proportional to 5,290 and 7,199
Half scale
Find third proportional to 21,160 and 28,796
Double scale
Find third proportional to 10,582 and 14,401
Similar ratio
Find third proportional to 15,870 and 21,597
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.