Home / 10,537-22,623

Finding the Third Proportional to 10,537 and 22,623

Calculator

Solution

The third proportional to 10,537 and 22,623 is: 48,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 22,623 = 22,623 : x
  2. Step 2: Convert to fraction form
    10,537/22,623 = 22,623/x
  3. Step 3: Cross multiply
    10,537x = 22,623 × 22,623
  4. Step 4: Simplify right side
    10,537x = 511,800,129
  5. Step 5: Solve for x
    x = 511,800,129/10,537
  6. Step 6: Final answer
    x = 48,571.71

Related Problems

Find third proportional to 5,268.50 and 11,311.50
Half scale
Find third proportional to 21,074 and 45,246
Double scale
Find third proportional to 10,539 and 22,627
Similar ratio
Find third proportional to 15,805.50 and 33,934.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.