Home / 7,766-9,729

Finding the Third Proportional to 7,766 and 9,729

Calculator

Solution

The third proportional to 7,766 and 9,729 is: 12,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 9,729 = 9,729 : x
  2. Step 2: Convert to fraction form
    7,766/9,729 = 9,729/x
  3. Step 3: Cross multiply
    7,766x = 9,729 × 9,729
  4. Step 4: Simplify right side
    7,766x = 94,653,441
  5. Step 5: Solve for x
    x = 94,653,441/7,766
  6. Step 6: Final answer
    x = 12,188.18

Related Problems

Find third proportional to 3,883 and 4,864.50
Half scale
Find third proportional to 15,532 and 19,458
Double scale
Find third proportional to 7,768 and 9,732
Similar ratio
Find third proportional to 11,649 and 14,593.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.