Home / 12,654-18,523

Finding the Third Proportional to 12,654 and 18,523

Calculator

Solution

The third proportional to 12,654 and 18,523 is: 27,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 18,523 = 18,523 : x
  2. Step 2: Convert to fraction form
    12,654/18,523 = 18,523/x
  3. Step 3: Cross multiply
    12,654x = 18,523 × 18,523
  4. Step 4: Simplify right side
    12,654x = 343,101,529
  5. Step 5: Solve for x
    x = 343,101,529/12,654
  6. Step 6: Final answer
    x = 27,114.08

Related Problems

Find third proportional to 6,327 and 9,261.50
Half scale
Find third proportional to 25,308 and 37,046
Double scale
Find third proportional to 12,656 and 18,526
Similar ratio
Find third proportional to 18,981 and 27,784.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.