Home / 10,523-22,685

Finding the Third Proportional to 10,523 and 22,685

Calculator

Solution

The third proportional to 10,523 and 22,685 is: 48,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523 : 22,685 = 22,685 : x
  2. Step 2: Convert to fraction form
    10,523/22,685 = 22,685/x
  3. Step 3: Cross multiply
    10,523x = 22,685 × 22,685
  4. Step 4: Simplify right side
    10,523x = 514,609,225
  5. Step 5: Solve for x
    x = 514,609,225/10,523
  6. Step 6: Final answer
    x = 48,903.28

Related Problems

Find third proportional to 5,261.50 and 11,342.50
Half scale
Find third proportional to 21,046 and 45,370
Double scale
Find third proportional to 10,525 and 22,689
Similar ratio
Find third proportional to 15,784.50 and 34,027.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.