Home / 7,712-12,417

Finding the Third Proportional to 7,712 and 12,417

Calculator

Solution

The third proportional to 7,712 and 12,417 is: 19,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712 : 12,417 = 12,417 : x
  2. Step 2: Convert to fraction form
    7,712/12,417 = 12,417/x
  3. Step 3: Cross multiply
    7,712x = 12,417 × 12,417
  4. Step 4: Simplify right side
    7,712x = 154,181,889
  5. Step 5: Solve for x
    x = 154,181,889/7,712
  6. Step 6: Final answer
    x = 19,992.46

Related Problems

Find third proportional to 3,856 and 6,208.50
Half scale
Find third proportional to 15,424 and 24,834
Double scale
Find third proportional to 7,714 and 12,420
Similar ratio
Find third proportional to 11,568 and 18,625.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.