Home / 9,822-14,319

Finding the Third Proportional to 9,822 and 14,319

Calculator

Solution

The third proportional to 9,822 and 14,319 is: 20,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 14,319 = 14,319 : x
  2. Step 2: Convert to fraction form
    9,822/14,319 = 14,319/x
  3. Step 3: Cross multiply
    9,822x = 14,319 × 14,319
  4. Step 4: Simplify right side
    9,822x = 205,033,761
  5. Step 5: Solve for x
    x = 205,033,761/9,822
  6. Step 6: Final answer
    x = 20,874.95

Related Problems

Find third proportional to 4,911 and 7,159.50
Half scale
Find third proportional to 19,644 and 28,638
Double scale
Find third proportional to 9,824 and 14,322
Similar ratio
Find third proportional to 14,733 and 21,478.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.