Home / 8,430-12,997

Finding the Third Proportional to 8,430 and 12,997

Calculator

Solution

The third proportional to 8,430 and 12,997 is: 20,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 12,997 = 12,997 : x
  2. Step 2: Convert to fraction form
    8,430/12,997 = 12,997/x
  3. Step 3: Cross multiply
    8,430x = 12,997 × 12,997
  4. Step 4: Simplify right side
    8,430x = 168,922,009
  5. Step 5: Solve for x
    x = 168,922,009/8,430
  6. Step 6: Final answer
    x = 20,038.20

Related Problems

Find third proportional to 4,215 and 6,498.50
Half scale
Find third proportional to 16,860 and 25,994
Double scale
Find third proportional to 8,432 and 13,000
Similar ratio
Find third proportional to 12,645 and 19,495.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.