Home / 10,416-15,840

Finding the Third Proportional to 10,416 and 15,840

Calculator

Solution

The third proportional to 10,416 and 15,840 is: 24,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 15,840 = 15,840 : x
  2. Step 2: Convert to fraction form
    10,416/15,840 = 15,840/x
  3. Step 3: Cross multiply
    10,416x = 15,840 × 15,840
  4. Step 4: Simplify right side
    10,416x = 250,905,600
  5. Step 5: Solve for x
    x = 250,905,600/10,416
  6. Step 6: Final answer
    x = 24,088.48

Related Problems

Find third proportional to 5,208 and 7,920
Half scale
Find third proportional to 20,832 and 31,680
Double scale
Find third proportional to 10,418 and 15,843
Similar ratio
Find third proportional to 15,624 and 23,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.