Home / 9,782-14,460

Finding the Third Proportional to 9,782 and 14,460

Calculator

Solution

The third proportional to 9,782 and 14,460 is: 21,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782 : 14,460 = 14,460 : x
  2. Step 2: Convert to fraction form
    9,782/14,460 = 14,460/x
  3. Step 3: Cross multiply
    9,782x = 14,460 × 14,460
  4. Step 4: Simplify right side
    9,782x = 209,091,600
  5. Step 5: Solve for x
    x = 209,091,600/9,782
  6. Step 6: Final answer
    x = 21,375.14

Related Problems

Find third proportional to 4,891 and 7,230
Half scale
Find third proportional to 19,564 and 28,920
Double scale
Find third proportional to 9,784 and 14,463
Similar ratio
Find third proportional to 14,673 and 21,690
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.