Home / 284,154-424,286

Finding the Third Proportional to 284,154 and 424,286

Calculator

Solution

The third proportional to 284,154 and 424,286 is: 633,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,154 : 424,286 = 424,286 : x
  2. Step 2: Convert to fraction form
    284,154/424,286 = 424,286/x
  3. Step 3: Cross multiply
    284,154x = 424,286 × 424,286
  4. Step 4: Simplify right side
    284,154x = 180,018,609,796
  5. Step 5: Solve for x
    x = 180,018,609,796/284,154
  6. Step 6: Final answer
    x = 633,524.81

Related Problems

Find third proportional to 142,077 and 212,143
Half scale
Find third proportional to 568,308 and 848,572
Double scale
Find third proportional to 284,156 and 424,289
Similar ratio
Find third proportional to 426,231 and 636,429
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.