Home / 12,318-16,506

Finding the Third Proportional to 12,318 and 16,506

Calculator

Solution

The third proportional to 12,318 and 16,506 is: 22,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 16,506 = 16,506 : x
  2. Step 2: Convert to fraction form
    12,318/16,506 = 16,506/x
  3. Step 3: Cross multiply
    12,318x = 16,506 × 16,506
  4. Step 4: Simplify right side
    12,318x = 272,448,036
  5. Step 5: Solve for x
    x = 272,448,036/12,318
  6. Step 6: Final answer
    x = 22,117.88

Related Problems

Find third proportional to 6,159 and 8,253
Half scale
Find third proportional to 24,636 and 33,012
Double scale
Find third proportional to 12,320 and 16,509
Similar ratio
Find third proportional to 18,477 and 24,759
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.