Home / 106,353-232,025

Finding the Third Proportional to 106,353 and 232,025

Calculator

Solution

The third proportional to 106,353 and 232,025 is: 506,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,353 : 232,025 = 232,025 : x
  2. Step 2: Convert to fraction form
    106,353/232,025 = 232,025/x
  3. Step 3: Cross multiply
    106,353x = 232,025 × 232,025
  4. Step 4: Simplify right side
    106,353x = 53,835,600,625
  5. Step 5: Solve for x
    x = 53,835,600,625/106,353
  6. Step 6: Final answer
    x = 506,197.29

Related Problems

Find third proportional to 53,176.50 and 116,012.50
Half scale
Find third proportional to 212,706 and 464,050
Double scale
Find third proportional to 106,355 and 232,029
Similar ratio
Find third proportional to 159,529.50 and 348,037.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.