Home / 106,762-232,316

Finding the Third Proportional to 106,762 and 232,316

Calculator

Solution

The third proportional to 106,762 and 232,316 is: 505,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,762 : 232,316 = 232,316 : x
  2. Step 2: Convert to fraction form
    106,762/232,316 = 232,316/x
  3. Step 3: Cross multiply
    106,762x = 232,316 × 232,316
  4. Step 4: Simplify right side
    106,762x = 53,970,723,856
  5. Step 5: Solve for x
    x = 53,970,723,856/106,762
  6. Step 6: Final answer
    x = 505,523.72

Related Problems

Find third proportional to 53,381 and 116,158
Half scale
Find third proportional to 213,524 and 464,632
Double scale
Find third proportional to 106,764 and 232,320
Similar ratio
Find third proportional to 160,143 and 348,474
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.