Home / 22,023-31,559

Finding the Third Proportional to 22,023 and 31,559

Calculator

Solution

The third proportional to 22,023 and 31,559 is: 45,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023 : 31,559 = 31,559 : x
  2. Step 2: Convert to fraction form
    22,023/31,559 = 31,559/x
  3. Step 3: Cross multiply
    22,023x = 31,559 × 31,559
  4. Step 4: Simplify right side
    22,023x = 995,970,481
  5. Step 5: Solve for x
    x = 995,970,481/22,023
  6. Step 6: Final answer
    x = 45,224.11

Related Problems

Find third proportional to 11,011.50 and 15,779.50
Half scale
Find third proportional to 44,046 and 63,118
Double scale
Find third proportional to 22,025 and 31,562
Similar ratio
Find third proportional to 33,034.50 and 47,338.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.