Home / 284,942-451,191

Finding the Third Proportional to 284,942 and 451,191

Calculator

Solution

The third proportional to 284,942 and 451,191 is: 714,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,942 : 451,191 = 451,191 : x
  2. Step 2: Convert to fraction form
    284,942/451,191 = 451,191/x
  3. Step 3: Cross multiply
    284,942x = 451,191 × 451,191
  4. Step 4: Simplify right side
    284,942x = 203,573,318,481
  5. Step 5: Solve for x
    x = 203,573,318,481/284,942
  6. Step 6: Final answer
    x = 714,437.74

Related Problems

Find third proportional to 142,471 and 225,595.50
Half scale
Find third proportional to 569,884 and 902,382
Double scale
Find third proportional to 284,944 and 451,194
Similar ratio
Find third proportional to 427,413 and 676,786.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.